* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (* 2 a)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 1) (* 0 0)) into (* 4 a) * [misc]backup-simplify: Simplify (- (* 4 a)) into (- (* 4 a)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 a))) into (- (* 4 a)) * [misc]backup-simplify: Simplify (/ (- (* 4 a)) (* 2 (sqrt (sqr b)))) into (* -2 (/ a b)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 4 c)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 c))) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt (sqr b)))) into (* -2 (/ c b)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [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 (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (* 4 (* c a)))))) into (/ 1/2 (sqrt (- (* 4 (* c a))))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (* 4 (* c a))))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]backup-simplify: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr c)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* 4 (* c a))))))))) (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 3)) (* +nan.0 c))) (* (- +nan.0) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- (* +nan.0 c)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 c)) in c * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow c 3)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [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 (+ (* (- +nan.0) (* c (* a 1))) (* (- +nan.0) (sqr (* 1 (* 1 b))))) into (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) 1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]taylor: Taking taylor expansion of (/ -2 (* c a)) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ -2 c) into (/ -2 c) * [misc]taylor: Taking taylor expansion of (/ -2 c) in c * [misc]taylor: Taking taylor expansion of -2 in c * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (/ 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (/ -2 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ -2 (sqr c)) into (/ -2 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr c)) (+ (* (/ -2 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 b))))) (* -2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b))))) into (- b (* 2 (/ (* c a) b))) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) -1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (* -4 (/ -1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]taylor: Taking taylor expansion of (/ -2 (* c a)) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ -2 c) into (/ -2 c) * [misc]taylor: Taking taylor expansion of (/ -2 c) in c * [misc]taylor: Taking taylor expansion of -2 in c * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 (+ (* 4 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 (+ (* 4 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (/ -2 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ -2 (sqr c)) into (/ -2 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr c)) (+ (* (/ -2 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 (- b)))))) (* -2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b)))))) into (- (* 2 (/ (* c a) b)) b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 1) (* 0 0)) into (* 4 a) * [misc]backup-simplify: Simplify (- (* 4 a)) into (- (* 4 a)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 a))) into (- (* 4 a)) * [misc]backup-simplify: Simplify (/ (- (* 4 a)) (* 2 (sqrt (sqr b)))) into (* -2 (/ a b)) * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 4 c)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 c))) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt (sqr b)))) into (* -2 (/ c b)) * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt (- (* 4 (* c a))))) into (sqrt (- (* 4 (* c a)))) * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]taylor: Taking taylor expansion of 0 in c * [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 (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.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) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (* 4 (* c a)))))) into (/ 1/2 (sqrt (- (* 4 (* c a))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt (- (* 4 (* c a)))))) into (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (* 4 (* c a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 c)) into (/ +nan.0 c) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 c) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (* 0 (/ +nan.0 c))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr c)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* c (* a 1))) (+ (* (- +nan.0) (sqr (* 1 (* 1 b)))) (* -1 (* 1 (* 1 b))))) into (- (+ b (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))))) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) 1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 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)))) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 2 (/ 1 c)) into (/ 2 c) * [misc]backup-simplify: Simplify (- (/ 2 c)) into (- (* 2 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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)))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 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 (- 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* (sqr c) (sqr a)))) into (- (* 2 (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (sqr c) (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (sqr c) (sqr a)))) 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 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b)))) into (* -2 (/ (* c a) b)) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) -1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (* -4 (/ -1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 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 (- 0) into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 2 (/ 1 c)) into (/ 2 c) * [misc]backup-simplify: Simplify (- (/ 2 c)) into (- (* 2 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2 into 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 (- 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 (+ (* 4 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 (+ (* 4 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* (sqr c) (sqr a)))) into (- (* 2 (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (sqr c) (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (sqr c) (sqr a)))) 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 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 (- b)))))) (* -2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b)))))) into (- (* 2 (/ (* c a) b)) (* 2 b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) in c * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 1) (* 0 0)) into (* 4 a) * [misc]backup-simplify: Simplify (- (* 4 a)) into (- (* 4 a)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 a))) into (- (* 4 a)) * [misc]backup-simplify: Simplify (/ (- (* 4 a)) (* 2 (sqrt (sqr b)))) into (* -2 (/ a b)) * [misc]taylor: Taking taylor expansion of (* 2 a) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ (- b) b) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -2 (/ a b))) into (- (* 2 (/ a b))) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ a b))) (* 2 a)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 4 c)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 c))) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt (sqr b)))) into (* -2 (/ c b)) * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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) into (- b) * [misc]backup-simplify: Simplify (+ (- b) b) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -2 (/ c b))) into (- (* 2 (/ c b))) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ c b))) 2) into (* -1 (/ c b)) * [misc]taylor: Taking taylor expansion of (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt (- (* 4 (* c a))))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ (sqrt (- (* 4 (* c a)))) (* 2 a)) into (* 1/2 (/ (sqrt (- (* 4 (* c a)))) a)) * [misc]taylor: Taking taylor expansion of (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt (- (* 4 (* c a))))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ (sqrt (- (* 4 (* c a)))) (* 2 a)) into (* 1/2 (/ (sqrt (- (* 4 (* c a)))) a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (sqrt (- (* 4 (* c a)))) a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- (* 4 (* c a)))) a) in a * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [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 (/ (* +nan.0 c) 1) into (* +nan.0 c) * [misc]backup-simplify: Simplify (* 1/2 (* +nan.0 c)) into (* +nan.0 c) * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (* 2 a)) (+ (* (* 1/2 (/ (sqrt (- (* 4 (* c a)))) a)) (/ 0 (* 2 a))))) into (- (* 1/2 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (sqr c)) 1) (+ (* (* +nan.0 c) (/ 0 1)))) into (- (* +nan.0 (sqr c))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (sqr c)))) (* 0 (* +nan.0 c))) into (- (* +nan.0 (sqr c))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr c)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 0))) into 0 * [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 (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (* 4 (* c a)))))) into (/ 1/2 (sqrt (- (* 4 (* c a))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt (- (* 4 (* c a)))))) into (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) (* 2 a)) (+ (* (* 1/2 (/ (sqrt (- (* 4 (* c a)))) a)) (/ 0 (* 2 a))) (* (- (* 1/2 (/ 1 a))) (/ 0 (* 2 a))))) into (* 1/4 (/ 1 (* (sqrt (- (* 4 (* c a)))) a))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (sqrt (- (* 4 (* c a)))) a))) in a * [misc]taylor: Taking taylor expansion of 1/4 in a * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (- (* 4 (* c a)))) a)) in a * [misc]taylor: Taking taylor expansion of (* (sqrt (- (* 4 (* c a)))) a) in a * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* (* +nan.0 c) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 1) (* (* +nan.0 (sqr c)) 0))) into (- (* +nan.0 c)) * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 c))) into (/ +nan.0 c) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 c) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (sqr c))) (+ (* 2 (* (* +nan.0 c) (* +nan.0 (pow c 3)))))) (* 2 0)) into (* +nan.0 (pow c 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 0) (+ (* (* +nan.0 (sqr c)) 0) (+ (* (* +nan.0 (pow c 3)) 1) (* (* +nan.0 (pow c 4)) 0))))) into (- (* +nan.0 (pow c 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 c) 0) (+ (* (* +nan.0 (sqr c)) 1) (* (* +nan.0 (pow c 3)) 0)))) into (- (* +nan.0 (sqr c))) * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 c) (/ (- (* +nan.0 (sqr c))) (- (* +nan.0 c)))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 c) (/ (- (* +nan.0 (pow c 3))) (- (* +nan.0 c)))) (* (- +nan.0) (/ (- (* +nan.0 (sqr c))) (- (* +nan.0 c)))))) into (- (* +nan.0 c)) * [misc]backup-simplify: Simplify (+ (* 1/4 (- (* +nan.0 c))) (+ (* 0 (- +nan.0)) (* 0 (/ +nan.0 c)))) into (- (* +nan.0 c)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 c)) in c * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow c 3)) 1) (+ (* (* +nan.0 c) (/ 0 1)) (* (- (* +nan.0 (sqr c))) (/ 0 1)))) into (- (* +nan.0 (pow c 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (pow c 3)))) (+ (* 0 (- (* +nan.0 (sqr c)))) (* 0 (* +nan.0 c)))) into (- (* +nan.0 (pow c 3))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow c 3))) in c * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow c 3)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (+ (* 0 0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (sqr c) (* a 1))) (+ (* (- +nan.0) (* c (* 1 (sqr b)))) (* (- +nan.0) (* c (* 1 1))))) into (- (+ (* +nan.0 (* (sqr b) c)) (- (+ (* +nan.0 c) (- (* +nan.0 (* (sqr c) a))))))) * [misc]approximate: Taking taylor expansion of (/ (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) (* 2 (/ 1 a))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) (* 2 (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) 1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (- (/ 1 b)) (/ +nan.0 a)) into (- (+ (/ 1 b) (- (* +nan.0 (/ 1 a))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 b) (- (* +nan.0 (/ 1 a))))) (/ 2 a)) into (* -1/2 (* (+ (/ 1 b) (- (* +nan.0 (/ 1 a)))) a)) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (- (/ 1 b)) (/ +nan.0 c)) into (- (+ (/ 1 b) (- (* +nan.0 (/ 1 c))))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 b) (- (* +nan.0 (/ 1 c))))) 2) into (* -1/2 (+ (/ 1 b) (- (* +nan.0 (/ 1 c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) 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 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) into -1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 1)) (* 0 (/ 0 1)))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 (* c a)))) (/ 2 a)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) 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 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) into -1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 1)) (* 0 (/ 0 1)))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 (* c a)))) (/ 2 a)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ -1 c) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ -1 c) into (/ -1 c) * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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)))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 a)) (+ (* (/ -1 c) (/ 0 (/ 2 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (- 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* (sqr c) (sqr a)))) into (- (* 2 (/ 1 (* (sqr c) (sqr a))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* (sqr c) (sqr a))))) (/ 2 a)) (+ (* (/ -1 c) (/ 0 (/ 2 a))) (* 0 (/ 0 (/ 2 a))))) into (- (/ 1 (* (sqr c) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (sqr c) a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) a)) in a * [misc]taylor: Taking taylor expansion of (* (sqr c) a) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (* 0 0)) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))) (* 0 (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) (* 2 (/ 1 (- a)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) (* 2 (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) -1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) (/ +nan.0 a)) into (- (/ 1 b) (* +nan.0 (/ 1 a))) * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ (- (/ 1 b) (* +nan.0 (/ 1 a))) (/ -2 a)) into (* -1/2 (* a (- (/ 1 b) (* +nan.0 (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (* -4 (/ -1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) (/ +nan.0 c)) into (- (/ 1 b) (* +nan.0 (/ 1 c))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (/ 1 b) (* +nan.0 (/ 1 c))) -2) into (* -1/2 (- (/ 1 b) (* +nan.0 (/ 1 c)))) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) 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 (- 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) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ 2 (/ -2 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) 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 (- 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) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ 2 (/ -2 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [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]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [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 (- (+ (* -1 (/ 0 -1)))) 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) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 a)) (+ (* (* -1 a) (/ 0 (/ -2 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (- (+ (* -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 (- 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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c 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))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* c a)))) (/ -2 a)) (+ (* (* -1 a) (/ 0 (/ -2 a))) (* 0 (/ 0 (/ -2 a))))) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* 1 (* (/ 1 (- a)) (/ 1 (/ 1 (- b)))))) into (* -1 (/ b a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]taylor: Taking taylor expansion of (- (* 4 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 c) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 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) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (+ (* -4 (* c (* a 1))) (* 1 (sqr (* 1 (* 1 b))))) into (- (sqr b) (* 4 (* c a))) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 1) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 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 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (sqr (* 1 (* 1 (/ 1 (/ 1 b)))))) (* -4 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) 1)))) into (- (sqr b) (* 4 (* c a))) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 1) into 4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 (+ (* 4 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (* 0 (/ -1 c))) 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 (+ (* 4 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (sqr (* 1 (* 1 (/ 1 (/ 1 (- b))))))) (* -4 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) 1)))) into (- (sqr b) (* 4 (* c a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a)))))) (* 2 a)) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (- b (* 2 (/ (* c a) b)))) (* 2 a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (- (+ b (- b)) (* (* a 2) (/ c b))) (* a 2)) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (- (* 2 (/ (* c a) b)) b)) (* 2 a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (- (* (* a 2) (/ c b)) (- b (- b))) (* a 2)) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ b (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))))) (* 2 a)) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -2 (/ (* c a) b)) (* 2 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (/ c b) (/ -2 2)) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 2 (/ (* c a) b)) (* 2 b)) (* 2 a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (- (/ (/ c b) 1) (/ b a)) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqr b) c)) (- (+ (* +nan.0 c) (- (* +nan.0 (* (sqr c) a))))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- b) a) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* c a))))) (* 2 a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* (* c a) 4)))) (* a 2)) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* c a))))) (* 2 a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* (* c a) 4)))) (* a 2)) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* c a))))) (* 2 a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* (* c a) 4)))) (* a 2)) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (log (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (log (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (exp (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4))))) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4))))) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ b (sqrt (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (* 4 (* c a))) b)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (* 4 (* c a))) b)) * [enter]simplify: Simplifying (sqrt (- b (sqrt (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqrt (- b (sqrt (* 4 (* c a))))) * [exit]simplify: Simplified to (sqrt (- b (sqrt (* 4 (* c a))))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (sqr b) 3) (pow (* (* 4 a) c) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (cube b)) (cube (* a (* c 4))))) * [exit]simplify: Simplified to (sqrt (- (sqr (cube b)) (cube (* a (* c 4))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr b)) (+ (sqr (* (* 4 a) c)) (* (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqr b) (sqr b)) (* (+ (* (* c 4) a) (sqr b)) (* (* c 4) a)))) * [exit]simplify: Simplified to (sqrt (+ (* (sqr b) (sqr b)) (* (+ (* (* c 4) a) (sqr b)) (* (* c 4) a)))) * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqr b)) (sqr (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (* a c) 4) (sqr b)) (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (* a c) 4) (sqr b)) (- (sqr b) (* (* a c) 4)))) * [enter]simplify: Simplifying (sqrt (+ (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* a c) 4) (sqr b))) * [exit]simplify: Simplified to (sqrt (+ (* (* a c) 4) (sqr b))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- b)) (exp (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* (* 4 a) c))) b)) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* (* 4 a) c))) b)) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (log (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (log (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* c (* a 4)))) b)) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* c (* a 4)))) b)) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (cube (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cube (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- b) 3) (pow (sqrt (- (sqr b) (* (* 4 a) c))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* (* c 4) a))) (- (sqr b) (* (* c 4) a)))) * [exit]simplify: Simplified to (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* (* c 4) a))) (- (sqr b) (* (* c 4) a)))) * [enter]simplify: Simplifying (+ (sqr (- b)) (- (sqr (sqrt (- (sqr b) (* (* 4 a) c)))) (* (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (* b (+ b b)) (* (* 4 a) c)) (* (sqrt (- (sqr b) (* (* 4 a) c))) (- b))) * [exit]simplify: Simplified to (- (- (* b (+ b b)) (* (* 4 a) c)) (* (sqrt (- (sqr b) (* (* 4 a) c))) (- b))) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (- b)) (sqr (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (* 4 a) c) * [exit]simplify: Simplified to (* (* 4 a) c) * [enter]simplify: Simplifying (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (- (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (- b (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (- b (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (log (* 2 a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- (log (+ (- b) (sqrt (- (sqr b) (* (* a c) 4))))) (log (* 2 a))) * [exit]simplify: Simplified to (- (log (+ (- b) (sqrt (- (sqr b) (* (* a c) 4))))) (log (* 2 a))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (log (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (* 2 a))) * [exit]simplify: Simplified to (log (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (* 2 a))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (exp (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * [exit]simplify: Simplified to (exp (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (cube (* 2 a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (cube (/ (+ (- b) (sqrt (- (sqr b) (* (* c 4) a)))) (* 2 a))) * [exit]simplify: Simplified to (cube (/ (+ (- b) (sqrt (- (sqr b) (* (* c 4) a)))) (* 2 a))) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * [exit]simplify: Simplified to (cbrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (cube (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))) * [exit]simplify: Simplified to (cube (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (cbrt (* 2 a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) (cbrt (* 2 a))) * [exit]simplify: Simplified to (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) (cbrt (* 2 a))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (sqrt (* 2 a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) (sqrt (* 2 a))) * [exit]simplify: Simplified to (/ (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) (sqrt (* 2 a))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (+ (- (sqrt (- (sqr b) (* a (* c 4))))) b) * [exit]simplify: Simplified to (+ (- (sqrt (- (sqr b) (* a (* c 4))))) b) * [enter]simplify: Simplifying (- (* 2 a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* 2 (- a)) * [exit]simplify: Simplified to (* 2 (- a)) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (- b (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (- b (sqrt (- (sqr b) (* 4 (* a c))))) (* a 2)) * [exit]simplify: Simplified to (/ (- b (sqrt (- (sqr b) (* 4 (* a c))))) (* a 2)) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) a) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) a) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) a) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) a) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) a) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) a) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 a) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) 2) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) 2) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 a) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 a) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * [exit]simplify: Simplified to (/ (* a 2) (+ (sqrt (- (* b b) (* (* c 4) a))) (- b))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 a) (+ (sqr (- b)) (- (sqr (sqrt (- (sqr b) (* (* 4 a) c)))) (* (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (+ (* (* (* a 2) (sqrt (- (* b b) (* (* a 4) c)))) (- (sqrt (- (* b b) (* (* a 4) c))) (- b))) (* (* b b) (* a 2))) * [exit]simplify: Simplified to (+ (* (* (* a 2) (sqrt (- (* b b) (* (* a 4) c)))) (- (sqrt (- (* b b) (* (* a 4) c))) (- b))) (* (* b b) (* a 2))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 a) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (* a 2) (- (- b) (sqrt (- (* b b) (* (* c 4) a))))) * [exit]simplify: Simplified to (* (* a 2) (- (- b) (sqrt (- (* b b) (* (* c 4) a))))) * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr b)) (exp (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (exp (- (sqr b) (* c (* a 4)))) * [exit]simplify: Simplified to (exp (- (sqr b) (* c (* a 4)))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (- (sqr b) (* (* a c) 4))) * [exit]simplify: Simplified to (log (- (sqr b) (* (* a c) 4))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (exp (sqr b)) (pow (exp 4) (* a c))) * [exit]simplify: Simplified to (/ (exp (sqr b)) (pow (exp 4) (* a c))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr b) (* (* a c) 4))) * [exit]simplify: Simplified to (cbrt (- (sqr b) (* (* a c) 4))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cube (- (sqr b) (* (* c 4) a))) * [exit]simplify: Simplified to (cube (- (sqr b) (* (* c 4) a))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* 4 a) c)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (- a) (* 4 c)) * [exit]simplify: Simplified to (* (- a) (* 4 c)) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr b) 3) (pow (* (* 4 a) c) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (- (* (cube b) (cube b)) (cube (* (* 4 a) c))) * [exit]simplify: Simplified to (- (* (cube b) (cube b)) (cube (* (* 4 a) c))) * [enter]simplify: Simplifying (+ (sqr (sqr b)) (+ (sqr (* (* 4 a) c)) (* (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (+ (* (sqr b) (sqr b)) (* (+ (* c (* a 4)) (sqr b)) (* c (* a 4)))) * [exit]simplify: Simplified to (+ (* (sqr b) (sqr b)) (* (+ (* c (* a 4)) (sqr b)) (* c (* a 4)))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr b)) (sqr (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (+ (* c (* a 4)) (sqr b)) (- (sqr b) (* c (* a 4)))) * [exit]simplify: Simplified to (* (+ (* c (* a 4)) (sqr b)) (- (sqr b) (* c (* a 4)))) * [enter]simplify: Simplifying (+ (sqr b) (* (* 4 a) c)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (+ (* (* a c) 4) (sqr b)) * [exit]simplify: Simplified to (+ (* (* a c) 4) (sqr b)) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b (sqrt (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a (* 4 c))) b) * [exit]simplify: Simplified to (+ (sqrt (* a (* 4 c))) b) * [enter]simplify: Simplifying (- b (sqrt (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (- b (sqrt (* (* 4 c) a))) * [exit]simplify: Simplified to (- b (sqrt (* (* 4 c) a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 1) (* 0 0)) into (* 4 a) * [misc]backup-simplify: Simplify (- (* 4 a)) into (- (* 4 a)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 a))) into (- (* 4 a)) * [misc]backup-simplify: Simplify (/ (- (* 4 a)) (* 2 (sqrt (sqr b)))) into (* -2 (/ a b)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 4 c)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 c))) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt (sqr b)))) into (* -2 (/ c b)) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [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 (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (* 4 (* c a)))))) into (/ 1/2 (sqrt (- (* 4 (* c a))))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqrt (- (* 4 (* c a))))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]backup-simplify: Simplify (/ 1/2 (* +nan.0 c)) into (/ +nan.0 c) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr c)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [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 (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (* 4 (* c a))))))))) (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 c)) (+ (* (/ +nan.0 c) (/ (* +nan.0 (pow c 3)) (* +nan.0 c))) (* (- +nan.0) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- (* +nan.0 c)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 c)) in c * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 c) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 c) (* +nan.0 (sqr c)))))) (* 2 0)) into (* +nan.0 (pow c 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow c 3)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [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 (+ (* (- +nan.0) (* c (* a 1))) (* (- +nan.0) (sqr (* 1 (* 1 b))))) into (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) 1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]taylor: Taking taylor expansion of (/ -2 (* c a)) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ -2 c) into (/ -2 c) * [misc]taylor: Taking taylor expansion of (/ -2 c) in c * [misc]taylor: Taking taylor expansion of -2 in c * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (/ 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (/ -2 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ -2 (sqr c)) into (/ -2 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr c)) (+ (* (/ -2 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 b))))) (* -2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b))))) into (- b (* 2 (/ (* c a) b))) * [misc]approximate: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) -1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (* -4 (/ -1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]taylor: Taking taylor expansion of (/ -2 (* c a)) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ -2 c) into (/ -2 c) * [misc]taylor: Taking taylor expansion of (/ -2 c) in c * [misc]taylor: Taking taylor expansion of -2 in c * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 (+ (* 4 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 (+ (* 4 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (/ -2 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ -2 (sqr c)) into (/ -2 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr c)) (+ (* (/ -2 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ -2 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 (- b)))))) (* -2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b)))))) into (- (* 2 (/ (* c a) b)) b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in c * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in c * [misc]taylor: Taking taylor expansion of (sqr b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 4 a) c) in c * [misc]taylor: Taking taylor expansion of (* 4 a) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 1) (* 0 0)) into (* 4 a) * [misc]backup-simplify: Simplify (- (* 4 a)) into (- (* 4 a)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 a))) into (- (* 4 a)) * [misc]backup-simplify: Simplify (/ (- (* 4 a)) (* 2 (sqrt (sqr b)))) into (* -2 (/ a b)) * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (sqrt (sqr b)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 4 c)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 c))) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt (sqr b)))) into (* -2 (/ c b)) * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 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]taylor: Taking taylor expansion of (sqrt (- (sqr b) (* (* 4 a) c))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (* (* 4 a) c)) in b * [misc]taylor: Taking taylor expansion of (sqr 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 (* (* 4 a) c) in b * [misc]taylor: Taking taylor expansion of (* 4 a) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 4 a) into (* 4 a) * [misc]backup-simplify: Simplify (* (* 4 a) c) into (* 4 (* c a)) * [misc]backup-simplify: Simplify (- (* 4 (* c a))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (* c a)))) into (- (* 4 (* c a))) * [misc]backup-simplify: Simplify (sqrt (- (* 4 (* c a)))) into (sqrt (- (* 4 (* c a)))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 4 (* c a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt (- (* 4 (* c a))))) into (sqrt (- (* 4 (* c a)))) * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]taylor: Taking taylor expansion of 0 in c * [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 (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* +nan.0 c) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.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) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 4 a) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (* 4 (* c a)))))) into (/ 1/2 (sqrt (- (* 4 (* c a))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt (- (* 4 (* c a)))))) into (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqrt (- (* 4 (* c a)))))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (* 4 (* c a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (- (* 4 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (- (* 4 (* c a))) in a * [misc]taylor: Taking taylor expansion of (* 4 (* c a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (+ (* 4 c) (* 0 0)) into (* 4 c) * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (- (* 4 c)) into (- (* 4 c)) * [misc]backup-simplify: Simplify (/ (- (* 4 c)) (* 2 (sqrt 0))) into (* +nan.0 c) * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 c)) into (/ +nan.0 c) * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]backup-simplify: Simplify (- (+ (* (/ +nan.0 c) (/ (* +nan.0 (sqr c)) (* +nan.0 c))))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1/2 (- +nan.0)) (* 0 (/ +nan.0 c))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 c) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 c)) (+)) (* 2 0)) into (* +nan.0 (sqr c)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr c)) in c * [misc]taylor: Taking taylor expansion of +nan.0 in c * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* c (* a 1))) (+ (* (- +nan.0) (sqr (* 1 (* 1 b)))) (* -1 (* 1 (* 1 b))))) into (- (+ b (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))))) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 4 (/ 1 a)) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) 1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) 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 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 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (* 4 (/ 1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 a)) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 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)))) 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]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 a)) into (/ 4 a) * [misc]backup-simplify: Simplify (* (/ 4 a) (/ 1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 2 (/ 1 c)) into (/ 2 c) * [misc]backup-simplify: Simplify (- (/ 2 c)) into (- (* 2 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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)))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 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 (- 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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* (sqr c) (sqr a)))) into (- (* 2 (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (sqr c) (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (sqr c) (sqr a)))) 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 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (/ 1 b)))) into (* -2 (/ (* c a) b)) * [misc]approximate: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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 (/ 1 (- a))) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) -1) into (/ 4 a) * [misc]backup-simplify: Simplify (- (/ 4 a)) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 a)))) into (- (* 4 (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 a))) (* 2 (sqrt 0))) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) 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 (- 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 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (* -4 (/ -1 c)) into (/ 4 c) * [misc]backup-simplify: Simplify (- (/ 4 c)) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 c)))) into (- (* 4 (/ 1 c))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 4 (/ 1 c))) (* 2 (sqrt 0))) into (/ +nan.0 c) * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 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 (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 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 (* (* 4 (/ 1 (- a))) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [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 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 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 (- 0) into 0 * [misc]backup-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 (* 4 (/ -1 a)) into (/ -4 a) * [misc]backup-simplify: Simplify (* (/ -4 a) (/ -1 c)) into (/ 4 (* c a)) * [misc]backup-simplify: Simplify (- (/ 4 (* c a))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (* c a))))) into (- (* 4 (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (/ (- (- (* 4 (/ 1 (* c a)))) (sqr 0) (+)) (* 2 1)) into (/ -2 (* c a)) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* c a))) into (- (* 2 (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* c a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* c a))) 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 (* c a)) in a * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [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 (* c 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 2 (/ 1 c)) into (/ 2 c) * [misc]backup-simplify: Simplify (- (/ 2 c)) into (- (* 2 (/ 1 c))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2 into 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 (- 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 (+ (* 4 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (* c a)))))) (* 2 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 (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 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 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 (- 0) into 0 * [misc]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 (+ (* 4 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -4 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ -2 (* c a))) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -2 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (/ -2 (* (sqr c) (sqr a)))) into (- (* 2 (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (sqr c) (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (sqr c) (sqr a)))) 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 (* (sqr c) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr 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 (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sqr c) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 1) (+ (* 0 0) (* 0 0))) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* 1 (* 1 (/ 1 (/ 1 (- b)))))) (* -2 (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (/ 1 (- b)))))) into (- (* 2 (/ (* c a) b)) (* 2 b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) in a * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) in c * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) into (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 b)) (sqrt (- (sqr (/ 1 b)) (* (* 4 (/ 1 a)) (/ 1 c)))))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) into (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) in (b a c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (- (/ 1 (- b))) (sqrt (- (sqr (/ 1 (- b))) (* (* 4 (/ 1 (- a))) (/ 1 (- c))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) into (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* 2 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 a)) in a * [misc]backup-simplify: Simplify (cbrt (* 2 a)) into (cbrt (* 2 a)) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 a)) in a * [misc]backup-simplify: Simplify (cbrt (* 2 a)) into (cbrt (* 2 a)) * [misc]backup-simplify: Simplify (cbrt (* 2 a)) into (cbrt (* 2 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* 2 a)) into (cbrt (* 2 a)) * [misc]approximate: Taking taylor expansion of (cbrt (* 2 (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (/ 1 a))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (/ 1 a))) into (cbrt (/ 2 a)) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (/ 1 a))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (/ 1 a))) into (cbrt (/ 2 a)) * [misc]backup-simplify: Simplify (cbrt (/ 2 a)) into (cbrt (/ 2 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 2 a)) into (cbrt (/ 2 a)) * [misc]approximate: Taking taylor expansion of (cbrt (* 2 (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (/ 1 (- a)))) into (cbrt (/ -2 a)) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (/ 1 (- a)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (/ 1 (- a)))) into (cbrt (/ -2 a)) * [misc]backup-simplify: Simplify (cbrt (/ -2 a)) into (cbrt (/ -2 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ -2 a)) into (cbrt (/ -2 a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a))))))) (cbrt (* 2 a)))) * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (- b (* 2 (/ (* c a) b))))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (- (+ b (- b)) (/ (* a 2) (/ b c))) (* a 2)) * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (- (* 2 (/ (* c a) b)) b))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (+ (- (- b) b) (/ (* a 2) (/ b c))) (* a 2)) * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ b (- (+ (* +nan.0 (sqr b)) (- (* +nan.0 (* c a)))))))) (cbrt (* 2 a)))) * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (* -2 (/ (* c a) b))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (/ c 2) (/ -2 b)) * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (* 2 (/ (* c a) b)) (* 2 b))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (- (* a (/ c b)) b) a) * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqrt (- (sqr b) (* 4 (* c a)))) b)) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (- (sqr b) (* (* a 4) c))) b) (* 2 a)) * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))) (/ 1 b))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (- (/ (/ 1 b) b) (/ (/ 4 c) a))) (/ 1 b)) (* 2 a)) * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (/ 1 b) (sqrt (- (/ 1 (sqr b)) (* 4 (/ 1 (* c a))))))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 b) (sqrt (- (/ 1 (* b b)) (/ (/ 4 c) a)))) (* a 2)) * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (cbrt (* 2 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (* 2 a)) * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (cbrt (/ 2 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (/ 2 a)) * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (cbrt (/ -2 a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (/ -2 a)) * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (log (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (log (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (exp (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4))))) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4))))) * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * [exit]simplify: Simplified to (sqrt (- (sqr b) (* (* a c) 4))) * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ b (sqrt (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (* 4 (* c a))) b)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (* 4 (* c a))) b)) * [enter]simplify: Simplifying (sqrt (- b (sqrt (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqrt (- b (sqrt (* 4 (* c a))))) * [exit]simplify: Simplified to (sqrt (- b (sqrt (* 4 (* c a))))) * * * * [misc]progress: [ 21 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (sqr b) 3) (pow (* (* 4 a) c) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (cube b)) (cube (* a (* c 4))))) * [exit]simplify: Simplified to (sqrt (- (sqr (cube b)) (cube (* a (* c 4))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr b)) (+ (sqr (* (* 4 a) c)) (* (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqr b) (sqr b)) (* (+ (* (* c 4) a) (sqr b)) (* (* c 4) a)))) * [exit]simplify: Simplified to (sqrt (+ (* (sqr b) (sqr b)) (* (+ (* (* c 4) a) (sqr b)) (* (* c 4) a)))) * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqr b)) (sqr (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (* a c) 4) (sqr b)) (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (* a c) 4) (sqr b)) (- (sqr b) (* (* a c) 4)))) * [enter]simplify: Simplifying (sqrt (+ (sqr b) (* (* 4 a) c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* a c) 4) (sqr b))) * [exit]simplify: Simplified to (sqrt (+ (* (* a c) 4) (sqr b))) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (- b)) (exp (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* (* 4 a) c))) b)) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* (* 4 a) c))) b)) * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (log (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (log (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* c (* a 4)))) b)) * [exit]simplify: Simplified to (exp (- (sqrt (- (sqr b) (* c (* a 4)))) b)) * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (cube (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cube (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (sqrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- b) 3) (pow (sqrt (- (sqr b) (* (* 4 a) c))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* (* c 4) a))) (- (sqr b) (* (* c 4) a)))) * [exit]simplify: Simplified to (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* (* c 4) a))) (- (sqr b) (* (* c 4) a)))) * [enter]simplify: Simplifying (+ (sqr (- b)) (- (sqr (sqrt (- (sqr b) (* (* 4 a) c)))) (* (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (* b (+ b b)) (* (* 4 a) c)) (* (sqrt (- (sqr b) (* (* 4 a) c))) (- b))) * [exit]simplify: Simplified to (- (- (* b (+ b b)) (* (* 4 a) c)) (* (sqrt (- (sqr b) (* (* 4 a) c))) (- b))) * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (- b)) (sqr (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (* 4 a) c) * [exit]simplify: Simplified to (* (* 4 a) c) * [enter]simplify: Simplifying (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (- (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (- b (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (- b (sqrt (- (sqr b) (* (* a c) 4)))) * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * [exit]simplify: Simplified to (log (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * [exit]simplify: Simplified to (exp (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cbrt (+ (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (- b) 3) (pow (sqrt (- (sqr b) (* (* 4 a) c))) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* a (* c 4)))) (- (sqr b) (* a (* c 4)))))) * [exit]simplify: Simplified to (cbrt (- (* (sqr b) (- b)) (* (sqrt (- (sqr b) (* a (* c 4)))) (- (sqr b) (* a (* c 4)))))) * [enter]simplify: Simplifying (cbrt (+ (sqr (- b)) (- (sqr (sqrt (- (sqr b) (* (* 4 a) c)))) (* (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (cbrt (- (- (* b (+ b b)) (* 4 (* c a))) (* (sqrt (- (sqr b) (* 4 (* c a)))) (- b)))) * [exit]simplify: Simplified to (cbrt (- (- (* b (+ b b)) (* 4 (* c a))) (* (sqrt (- (sqr b) (* 4 (* c a)))) (- b)))) * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (- b)) (sqr (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (* (* c a) 4)) * [exit]simplify: Simplified to (cbrt (* (* c a) 4)) * [enter]simplify: Simplifying (cbrt (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * [exit]simplify: Simplified to (cbrt (- (- b) (sqrt (- (sqr b) (* c (* a 4)))))) * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) * [exit]simplify: Simplified to (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))))) * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* 2 a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (* a 2))) * [exit]simplify: Simplified to (log (cbrt (* a 2))) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* 2 a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (* a 2))) * [exit]simplify: Simplified to (exp (cbrt (* a 2))) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* 2 a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* a 2))) * [exit]simplify: Simplified to (cbrt (cbrt (* a 2))) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* 2 a))) * * [misc]simplify: iters left: 4 (5 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 (* a 2) * [exit]simplify: Simplified to (* a 2) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* 2 a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* a 2))) * [exit]simplify: Simplified to (sqrt (cbrt (* a 2))) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (cbrt (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (sqr b) (* (* a c) 4)))) * [enter]simplify: Simplifying (* (* 2 a) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (* a 2) (- (- b) (sqrt (- (* b b) (* (* c 4) a))))) * [exit]simplify: Simplified to (* (* a 2) (- (- b) (sqrt (- (* b b) (* (* c 4) a))))) * [enter]simplify: Simplifying (- b) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- b) * [exit]simplify: Simplified to (- b) * [enter]simplify: Simplifying (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ (+ (- b) (sqrt (- (sqr b) (* a (* c 4))))) (* 2 a))) * [enter]simplify: Simplifying (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ (- b) (sqrt (- (sqr b) (* c (* a 4))))) (* 2 a)) * [enter]simplify: Simplifying (/ c b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ c b) * [exit]simplify: Simplified to (/ c b) * [enter]simplify: Simplifying (/ -2 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -2 2) * [exit]simplify: Simplified to (/ -2 2) * [enter]simplify: Simplifying (+ (/ 1 b) (sqrt (- (/ 1 (* b b)) (/ (/ 4 c) a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (sqrt (- (/ 1 (* b b)) (/ (/ 4 c) a)))) * [exit]simplify: Simplified to (+ (/ 1 b) (sqrt (- (/ 1 (* b b)) (/ (/ 4 c) a)))) * [enter]simplify: Simplifying (* a 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2 a) * [exit]simplify: Simplified to (* 2 a) * [enter]simplify: Simplifying (* 4 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a 4) * [exit]simplify: Simplified to (* a 4) * [enter]simplify: Simplifying (- (sqrt (- (/ (/ 1 b) b) (/ (/ 4 c) a))) (/ 1 b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (sqrt (- (/ (/ 1 b) b) (/ 4 (* a c)))) (/ 1 b)) * [exit]simplify: Simplified to (- (sqrt (- (/ (/ 1 b) b) (/ 4 (* a c)))) (/ 1 b)) * [enter]simplify: Simplifying (* 2 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a 2) * [exit]simplify: Simplified to (* a 2) * [enter]simplify: Simplifying (/ (/ c b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ c b) * [exit]simplify: Simplified to (/ c b) * [enter]simplify: Simplifying (/ b a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ b a) * [exit]simplify: Simplified to (/ b a) * [enter]simplify: Simplifying (* 4 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a 4) * [exit]simplify: Simplified to (* a 4) * [enter]simplify: Simplifying (cube (sqrt (- (sqr b) (* (* 4 a) c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4))))) * [exit]simplify: Simplified to (* (- (sqr b) (* a (* c 4))) (sqrt (- (sqr b) (* a (* c 4)))))