* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a c) into (* c a) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* c a) 0) into (* c a) * [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 (sqr c) * [misc]backup-simplify: Simplify (/ (* c a) (sqr c)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [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 (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a c) into (* c a) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* c a) 0) into (* c a) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (* c a) (+ (sqr d) (sqr c))) into (/ (* c a) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [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 (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in c * [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]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ 0 (sqr d)) into (sqr d) * [misc]backup-simplify: Simplify (/ (* b d) (sqr d)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) 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 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (sqr d) (sqr c))) into (/ (* b d) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) 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 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (sqr d) (sqr c))) into (/ (* b d) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (sqr d) (sqr c))) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (* b d) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr d) 0) into (sqr d) * [misc]backup-simplify: Simplify (/ (* b d) (sqr d)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ c (+ (sqr d) (sqr c))) (+ (* (/ (* b d) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (sqr c)))))) into (/ c (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ c (+ (sqr d) (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]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr d) 0) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr d)) (+ (* (/ b d) (/ 0 (sqr d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr d) (sqr c))) (+ (* (/ (* b d) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (sqr c)))) (* (/ c (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (sqr d)) (+ (* (/ b d) (/ 1 (sqr d))) (* 0 (/ 0 (sqr d))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 c)) (sqr (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in b * [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 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [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 (* (/ 1 b) (/ 1 d)) 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 (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in c * [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 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in a * [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 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in a * [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 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (sqr d)) (/ 1 (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]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))))) into (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* d 1) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 (sqr d))) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1)))) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (sqr d)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))) (* 0 (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (sqr d)) 1)) (* (- (/ 1 (sqr d))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- c))) (sqr (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in b * [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 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [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 (* (/ 1 (- b)) (/ 1 (- d))) 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 (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in c * [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 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in a * [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 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in a * [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 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (sqr d)) (/ 1 (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]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [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 (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))))) into (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* d 1) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 (sqr d))) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 (- 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 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1)))) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (sqr d)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- c) into (- c) * [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))) (* 0 (/ 0 (- c))))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))) (* 0 (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (sqr d)) 1)) (* (- (/ 1 (sqr d))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [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 (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [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 (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into 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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [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 (* (/ 1 b) (/ 1 d)) 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 (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* b d) (* c a)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [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 (* (/ 1 (- b)) (/ 1 (- d))) 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 (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (- c) into (- c) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* b d) (* c a)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (sqr c) (sqr d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in c * [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]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in c * [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]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ 0 (sqr d)) into (sqr d) * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (* d 1))) (* 1 (sqr (* 1 c)))) into (+ (sqr d) (sqr c)) * [misc]approximate: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 c)) (sqr (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in c * [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 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in c * [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 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr d))) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 c))))) (* 1 (sqr (* (/ 1 (/ 1 d)) 1)))) into (+ (sqr d) (sqr c)) * [misc]approximate: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- c))) (sqr (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in c * [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 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in c * [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 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr d))) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- c)))))) (* 1 (sqr (* (/ 1 (/ 1 (- d))) 1)))) into (+ (sqr d) (sqr c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* c a)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* c a)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr d) (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr d) (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr d) (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* d d) (* c c)))) * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* a c) (* b d))) (cube (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [enter]simplify: Simplifying (- (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (- (pow (sqr c) 3) (pow (sqr d) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* d b)) (+ (cube c) (cube d))) (- (cube c) (cube d))) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* d b)) (+ (cube c) (cube d))) (- (cube c) (cube d))) * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (- (sqr (sqr c)) (sqr (sqr d)))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr c) (sqr d)) (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (+ (sqr c) (* d d)) (+ (sqr (* c a)) (* (* b d) (- (* b d) (* c a))))) * [exit]simplify: Simplified to (* (+ (sqr c) (* d d)) (+ (sqr (* c a)) (* (* b d) (- (* b d) (* c a))))) * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr c) (sqr d)) (- (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (+ (sqr c) (* d d))) * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a c)) (exp (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* a c) 3) (pow (* b d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [enter]simplify: Simplifying (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* a c)) (sqr (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [enter]simplify: Simplifying (- (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [exit]simplify: Simplified to (- (* c a) (* d b)) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqr c)) (exp (sqr d))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (exp (+ (* d d) (sqr c))) * [exit]simplify: Simplified to (exp (+ (* d d) (sqr c))) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (log (+ (sqr c) (* d d))) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (exp (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (exp (+ (sqr c) (* d d))) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cube (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cube (+ (sqr c) (* d d))) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr c) 3) (pow (sqr d) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (cube c) (cube d)) (- (cube c) (cube d))) * [exit]simplify: Simplified to (* (+ (cube c) (cube d)) (- (cube c) (cube d))) * [enter]simplify: Simplifying (+ (sqr (sqr c)) (- (sqr (sqr d)) (* (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (+ (* (sqr c) (sqr c)) (* (* d d) (* d d))) (* (* c d) (* c d))) * [exit]simplify: Simplified to (- (+ (* (sqr c) (sqr c)) (* (* d d) (* d d))) (* (* c d) (* c d))) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr c)) (sqr (sqr d))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (* d d))) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (* d d))) * [enter]simplify: Simplifying (- (sqr c) (sqr d)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (- (sqr c) (* d d)) * [exit]simplify: Simplified to (- (sqr c) (* d d)) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr c) (sqr d)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [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 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr c) (sqr d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr c) (sqr d))) in d * [misc]backup-simplify: Simplify (cbrt (+ (sqr c) (sqr d))) into (cbrt (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr c) (sqr d))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr c) (sqr d))) into (cbrt (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr c) (sqr d))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr c) (sqr d))) into (cbrt (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr d) (sqr c))) in d * [misc]backup-simplify: Simplify (cbrt (+ (sqr d) (sqr c))) into (cbrt (+ (sqr d) (sqr c))) * [misc]backup-simplify: Simplify (cbrt (+ (sqr d) (sqr c))) into (cbrt (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of 0 in d * [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 d * [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]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (sqr d) (sqr c))) into (cbrt (+ (sqr d) (sqr c))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of 0 in d * [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 d * [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]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in d * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of 0 in d * [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 d * [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]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (* a c) into (* c a) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* c a) 0) into (* c a) * [misc]backup-simplify: Simplify (/ (* c a) (+ (sqr d) (sqr c))) into (/ (* c a) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [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 (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (* a c) into (* c a) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* c a) 0) into (* c a) * [misc]backup-simplify: Simplify (/ (* c a) (+ (sqr d) (sqr c))) into (/ (* c a) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [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 (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (+ (sqr d) (sqr c))) into (/ (* b d) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (+ (sqr d) (sqr c))) into (/ (* b d) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (+ (sqr d) (sqr c))) into (/ (* b d) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (sqr d) (sqr c))) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (* b d) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr d) 0) into (sqr d) * [misc]backup-simplify: Simplify (/ (* b d) (sqr d)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (+ (sqr d) (sqr c))) (+ (* (/ (* b d) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (sqr c)))))) into (/ c (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ c (+ (sqr d) (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]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr d) 0) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr d)) (+ (* (/ b d) (/ 0 (sqr d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr d) (sqr c))) (+ (* (/ (* b d) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (sqr c)))) (* (/ c (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (sqr d)) (+ (* (/ b d) (/ 1 (sqr d))) (* 0 (/ 0 (sqr d))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* b (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [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 (* (/ 1 b) (/ 1 d)) 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 (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* a (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (sqr d)) (/ 1 (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]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))))) into (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* d 1) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 (sqr d))) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1)))) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (sqr d)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))) (* 0 (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (sqr d)) 1)) (* (- (/ 1 (sqr d))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (sqr d))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (* 1 (* 1 (* (/ 1 c) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* (sqr (/ 1 c)) 1))))) into (+ (/ a c) (/ (* b d) (sqr c))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* b (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [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 (* (/ 1 (- b)) (/ 1 (- d))) 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 (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* a (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (sqr d)) (/ 1 (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]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))))) into (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* d 1) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [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 (- 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 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 (sqr d))) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1)))) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (sqr d)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ 1 (* c (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* (/ 1 (* b (* d (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr d)) (/ 0 (sqr d))) (* 0 (/ 0 (sqr d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (sqr d))) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (sqr d)) 1)) (* (- (/ 1 (sqr d))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (sqr d))) into (- (/ 1 (sqr d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (* 1 (* 1 (* (/ 1 (- c)) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* (sqr (/ 1 (- c))) 1))))) into (+ (/ a c) (/ (* b d) (sqr c))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr c) (sqr d)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr c) (sqr d)))) into (+ (sqr d) (sqr c)) * [misc]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (+ 0 (sqr c)) into (sqr c) * [misc]backup-simplify: Simplify (sqr c) into (sqr c) * [misc]taylor: Taking taylor expansion of 0 in d * [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 (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (* d 1))) (sqr c)) into (+ (sqr d) (sqr c)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 c)) (sqr (/ 1 d))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in d * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr c))) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))) (* 0 (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in d * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (sqr c))) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr c)) (/ 0 (sqr c))) (* 0 (/ 0 (sqr c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqr c)) into (/ 1 (sqr c)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [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 (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [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 (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into 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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [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 (* (/ 1 b) (/ 1 d)) 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 (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* b d) (* c a)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [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 (* (/ 1 (- b)) (/ 1 (- d))) 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 (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (- c) into (- c) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* b d) (* c a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr d) (sqr c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (/ 1 (* c c)) (/ 1 (* d d)))) * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (/ 1 (* c c)) (/ 1 (* d d)))) * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ a c) (/ (* b d) (sqr c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (/ a c) (* (/ b c) (/ d c))) * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ a c) (/ (* b d) (sqr c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (/ a c) (* (/ b c) (/ d c))) * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr d) (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (/ 1 (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (/ 1 (* c c))) * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (/ 1 (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (/ 1 (* c c))) * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* c a)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* c a)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (log (cbrt (+ (sqr c) (* d d)))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (exp (cbrt (+ (sqr c) (* d d)))) * * * * [misc]progress: [ 17 / 78 ] 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 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 18 / 78 ] 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 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (sqr c) 3) (pow (sqr d) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (cube c) (cube d)) (- (cube c) (cube d)))) * [exit]simplify: Simplified to (cbrt (* (+ (cube c) (cube d)) (- (cube c) (cube d)))) * [enter]simplify: Simplifying (cbrt (+ (sqr (sqr c)) (- (sqr (sqr d)) (* (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (sqr c) (sqr c)) (- (* (* d d) (* d d)) (sqr (* c d))))) * [exit]simplify: Simplified to (cbrt (+ (* (sqr c) (sqr c)) (- (* (* d d) (* d d)) (sqr (* c d))))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (sqr c)) (sqr (sqr d)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (cbrt (* (- (sqr c) (* d d)) (+ (* d d) (sqr c)))) * [exit]simplify: Simplified to (cbrt (* (- (sqr c) (* d d)) (+ (* d d) (sqr c)))) * [enter]simplify: Simplifying (cbrt (- (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (+ c d) (- c d))) * [exit]simplify: Simplified to (cbrt (* (+ c d) (- c d))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (sqr c) (* d d)))) * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (sqr c) (* d d)))) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* d d) (* c c)))) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (* a c) (* b d))) (cube (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (cube (+ (* c a) (* d b))) (cube (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cube (+ (* c a) (* d b))) (cube (+ (* d d) (* c c)))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cube (cbrt (+ (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [enter]simplify: Simplifying (- (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cube (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cube (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cube 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (* (cbrt (+ (sqr c) (sqr d))) (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* d b)) (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* d b)) (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (sqr c) (sqr d)))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (sqr c) (sqr d)))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (- (pow (sqr c) 3) (pow (sqr d) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (sqr (cube c)) (* (cube d) (cube d)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (sqr (cube c)) (* (cube d) (cube d)))) * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (- (sqr (sqr c)) (sqr (sqr d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cbrt (+ (sqr c) (sqr d)))) (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (+ (* (* b d) (- (* b d) (* a c))) (* (* a c) (* a c))) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (+ (* (* b d) (- (* b d) (* a c))) (* (* a c) (* a c))) (+ (sqr c) (* d d))) * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cbrt (+ (sqr c) (sqr d)))) (- (* a c) (* b d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (- (* a c) (* b d)) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (- (* a c) (* b d)) (+ (sqr c) (* d d))) * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (log (+ (sqr c) (* d d))) * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (exp (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (exp (+ (sqr c) (* d d))) * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (cube (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cube (+ (sqr c) (* d d))) * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * [exit]simplify: Simplified to (+ (sqr c) (* d d)) * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (sqr c) 3) (pow (sqr d) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (+ (cube c) (cube d)) (- (cube c) (cube d))) * [exit]simplify: Simplified to (* (+ (cube c) (cube d)) (- (cube c) (cube d))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (sqr c)) (- (sqr (sqr d)) (* (sqr c) (sqr d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (- (sqr c) (* d d)))) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (- (sqr c) (* d d)))) * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (sqr c)) (sqr (sqr d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (* d d))) * [exit]simplify: Simplified to (- (* (sqr c) (sqr c)) (* (* d d) (* d d))) * [enter]simplify: Simplifying (cube (cbrt (- (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (+ c d) (- c d)) * [exit]simplify: Simplified to (* (+ c d) (- c d)) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqr c) (sqr d))) (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqr c) (* d d))) (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (* (cbrt (+ (sqr c) (* d d))) (cbrt (+ (sqr c) (* d d)))) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (+ (sqr c) (sqr d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (sqr c) (* d d))) * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a c)) (exp (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* a c) 3) (pow (* b d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [enter]simplify: Simplifying (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* a c)) (sqr (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [enter]simplify: Simplifying (- (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [exit]simplify: Simplified to (- (* c a) (* d b)) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [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) * [misc]approximate: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in d * [misc]taylor: Taking taylor expansion of (sqr c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (sqr c) * [misc]backup-simplify: Simplify (/ (+ (* b d) (* c a)) (sqr c)) into (/ (+ (* b d) (* c a)) (sqr c)) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) into (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) in c * [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]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ 0 (sqr d)) into (sqr d) * [misc]backup-simplify: Simplify (/ (+ (* b d) (* c a)) (sqr d)) into (/ (+ (* b d) (* c a)) (sqr d)) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) 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 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) into (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (sqr c) (sqr d)) 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 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (+ (sqr c) (sqr d)) into (+ (sqr d) (sqr c)) * [misc]backup-simplify: Simplify (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) into (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) in c * [misc]taylor: Taking taylor expansion of (+ (* b d) (* c a)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (sqr d) (sqr c)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr d) 0) into (sqr d) * [misc]backup-simplify: Simplify (/ (* b d) (sqr d)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr d) (sqr c))) (+ (* (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ a (sqr d)) (+ (* (/ b d) (/ 0 (sqr d))))) into (/ a (sqr d)) * [misc]taylor: Taking taylor expansion of (/ a (sqr d)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ a (sqr d)) into (/ a (sqr d)) * [misc]taylor: Taking taylor expansion of (/ a (sqr d)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [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) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (sqr d) (sqr c))) (+ (* (/ (+ (* b d) (* c a)) (+ (sqr d) (sqr c))) (/ 0 (+ (sqr d) (sqr c)))) (* 0 (/ 0 (+ (sqr d) (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (sqr d)) (+ (* (/ b d) (/ 1 (sqr d))) (* (/ a (sqr d)) (/ 0 (sqr d))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [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 (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) 1) into (+ (/ 1 (* c a)) (/ 1 (* b d))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in b * [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 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in c * [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 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) 1) into (+ (/ 1 (* c a)) (/ 1 (* b d))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in a * [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 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) (+ (sqr (/ 1 c)) (sqr (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 c)) (sqr (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 c)) in a * [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 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* c a)) (/ 1 (* b d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) 1) (+ (* (/ 1 a) (/ 0 1)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ 1 (sqr d)) 1)) (* (/ 1 (* b d)) (/ 0 1)))) into (- (/ 1 (* (sqr d) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (sqr d) a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr d) a)) in b * [misc]taylor: Taking taylor expansion of (* (sqr d) a) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* (sqr d) a) into (* (sqr d) a) * [misc]backup-simplify: Simplify (/ 1 (* (sqr d) a)) into (/ 1 (* (sqr d) a)) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr d) a))) into (- (/ 1 (* (sqr d) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (sqr d) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr d) a)) in d * [misc]taylor: Taking taylor expansion of (* (sqr d) a) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 a))) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) 1) into (+ (/ 1 (* c a)) (/ 1 (* b d))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in b * [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 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in c * [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 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) 1) into (+ (/ 1 (* c a)) (/ 1 (* b d))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in a * [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 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- c))) (sqr (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- c))) in a * [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 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (sqr c)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr c)) (/ 1 (sqr d))) into (+ (/ 1 (sqr d)) (/ 1 (sqr c))) * [misc]backup-simplify: Simplify (/ (+ (/ 1 (* b d)) (/ 1 (* c a))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) into (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* c a)) (/ 1 (* b d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (sqr d)) (/ 1 (sqr c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqr d)) in c * [misc]taylor: Taking taylor expansion of (sqr d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (/ 1 (sqr d)) into (/ 1 (sqr d)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr c)) in c * [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 (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) 1) (+ (* (/ 1 a) (/ 0 1)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (sqr d)) 0) into (/ 1 (sqr d)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ 1 (sqr d)) 1)) (* (/ 1 (* b d)) (/ 0 1)))) into (- (/ 1 (* (sqr d) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (sqr d) a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr d) a)) in b * [misc]taylor: Taking taylor expansion of (* (sqr d) a) in b * [misc]taylor: Taking taylor expansion of (sqr d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* d d) into (sqr d) * [misc]backup-simplify: Simplify (* (sqr d) a) into (* (sqr d) a) * [misc]backup-simplify: Simplify (/ 1 (* (sqr d) a)) into (/ 1 (* (sqr d) a)) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr d) a))) into (- (/ 1 (* (sqr d) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (sqr d) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr d) a)) in d * [misc]taylor: Taking taylor expansion of (* (sqr d) a) in d * [misc]taylor: Taking taylor expansion of (sqr d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 a))) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- 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 (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (+ (* (/ (+ (/ 1 (* c a)) (/ 1 (* b d))) (+ (/ 1 (sqr d)) (/ 1 (sqr c)))) (/ 0 (+ (/ 1 (sqr d)) (/ 1 (sqr c))))) (* 0 (/ 0 (+ (/ 1 (sqr d)) (/ 1 (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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in d * [misc]backup-simplify: Simplify (cbrt (+ (* a c) (* b d))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in b * [misc]backup-simplify: Simplify (cbrt (+ (* a c) (* b d))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in c * [misc]backup-simplify: Simplify (cbrt (+ (* a c) (* b d))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* a c) (* b d))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* a c) (* b d))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* a c) (* b d))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* b d) (* c a))) in c * [misc]backup-simplify: Simplify (cbrt (+ (* b d) (* c a))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* b d) (* c a))) in b * [misc]backup-simplify: Simplify (cbrt (+ (* b d) (* c a))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* b d) (* c a))) in d * [misc]backup-simplify: Simplify (cbrt (+ (* b d) (* c a))) into (cbrt (+ (* b d) (* c a))) * [misc]backup-simplify: Simplify (cbrt (+ (* b d) (* c a))) into (cbrt (+ (* b d) (* c a))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (* b d) (* c a))) into (cbrt (+ (* b d) (* c a))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in b * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in c * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) in b * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in d * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in b * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in c * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in a * [misc]backup-simplify: Simplify (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) in b * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) in d * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) into (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (* b d)) (/ 1 (* c a)))) into (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* a c) (* b d)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* a c) (* b d)))) into (+ (* b d) (* c a)) * [misc]taylor: Taking taylor expansion of (+ (* b d) (* c a)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* a (* 1 (* 1 (* c 1)))) into (* c a) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in d * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) into (+ (/ 1 (* b d)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) 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]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [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 (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [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 (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into 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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [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 (* (/ 1 b) (/ 1 d)) 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 (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* b d) (* c a)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [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 (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [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 (* (/ 1 (- b)) (/ 1 (- d))) 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 (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 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 (- c) into (- c) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* b d) (* c a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* b d) (* c a)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d))))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ 1 c) a) (/ (/ 1 b) d)) (+ (sqr d) (* c c))) * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (/ 1 (* c a)) (/ 1 (* b d))))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ 1 c) a) (/ (/ 1 b) d)) (+ (sqr d) (* c c))) * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* c a) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* a c) (+ (* d d) (sqr c))) * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt 0)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* b d) (* c a)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* b d) (* c a)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cube (cbrt (+ (* a c) (* b d))))) (log (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* d b))) (log (+ (* c c) (* d d)))) * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cube (cbrt (+ (* a c) (* b d))))) (cube (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (cube (+ (* c a) (* d b))) (cube (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ (cube (+ (* c a) (* d b))) (cube (+ (* c c) (* d d)))) * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* d b)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cube (cbrt (+ (* a c) (* b d))))) (sqrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* d b))) (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [exit]simplify: Simplified to (- (+ (* c a) (* d b))) * [enter]simplify: Simplifying (- (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (- (+ (sqr c) (* d d))) * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt 1)) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt 1)) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) 1) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) 1) * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (/ (cbrt (+ (* c a) (* d b))) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (/ (cbrt (+ (* c a) (* d b))) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) 1) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* d b))) 1) * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (/ (cbrt (+ (* c a) (* d b))) (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (/ (cbrt (+ (* c a) (* d b))) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) 1) * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d))))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d))))) * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (- (pow (sqr c) 3) (pow (sqr d) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (* (- (cube c) (cube d)) (+ (cube d) (cube c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (* (- (cube c) (cube d)) (+ (cube d) (cube c)))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (* a c) (* b d)))) (- (sqr (sqr c)) (sqr (sqr d)))) * * [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 (79 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (sqr (* d d)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (- (* (* c c) (* c c)) (sqr (* d d)))) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr c) (sqr d)) (cube (cbrt (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (* (+ (* (* b d) (* b d)) (* (* c a) (- (* c a) (* b d)))) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (+ (* (* b d) (* b d)) (* (* c a) (- (* c a) (* b d)))) (+ (sqr c) (* d d))) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqr c) (sqr d)) (cube (cbrt (- (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (+ (sqr c) (* d d))) * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (log (cbrt (+ (* c a) (* d b)))) * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (exp (cbrt (+ (* c a) (* d b)))) * * * * [misc]progress: [ 49 / 79 ] 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 (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (* a c) 3) (pow (* b d) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (* c a)) (cube (* d b)))) * [exit]simplify: Simplified to (cbrt (- (cube (* c a)) (cube (* d b)))) * [enter]simplify: Simplifying (cbrt (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* c a) (* c a)) (* (- (* b d) (* c a)) (* b d)))) * [exit]simplify: Simplified to (cbrt (+ (* (* c a) (* c a)) (* (- (* b d) (* c a)) (* b d)))) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (* a c)) (sqr (* b d)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* c a) (* b d)) (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (cbrt (* (- (* c a) (* b d)) (+ (* c a) (* b d)))) * [enter]simplify: Simplifying (cbrt (- (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (- (* c a) (* d b))) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* c a) (* d b)))) * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c a) (* d b)))) * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (* a c) 3) (pow (* b d) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (* b d) (- (* b d) (* c a)))) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (* b d) (- (* b d) (* c a)))) * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (* a c)) (sqr (* b d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [enter]simplify: Simplifying (cube (cbrt (- (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [exit]simplify: Simplified to (- (* c a) (* d b)) * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b)))) * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a c)) (exp (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cube (+ (* c a) (* d b))) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* d b))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* a c) 3) (pow (* b d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [exit]simplify: Simplified to (- (cube (* c a)) (cube (* d b))) * [enter]simplify: Simplifying (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * [exit]simplify: Simplified to (- (sqr (* b d)) (* (* c a) (- (* b d) (* c a)))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* a c)) (sqr (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [enter]simplify: Simplifying (- (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [exit]simplify: Simplified to (- (* c a) (* d b)) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 c -2.2045318f+19) #s(sp 1 c 9.809289f+19) #s(sp 0 c +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 c -2.2045318f+19)) (#s(sp 1 c 9.809289f+19) . #s(sp 0 c +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 c -2.2045318f+19) . #s(sp 1 c 9.809289f+19))) * [enter]simplify: Simplifying (+ (/ a c) (/ (* b d) (sqr c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (/ a c) (* (/ b c) (/ d c))) * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (+ (/ a c) (/ (* b d) (sqr c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (/ a c) (* (/ b c) (/ d c))) * [enter]simplify: Simplifying (exp (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* c a) (* d b)))) * [exit]simplify: Simplified to (exp (cbrt (+ (* c a) (* d b)))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (/ 1 (sqr c))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (/ 1 (* c c))) * [enter]simplify: Simplifying (/ (cube (+ (* a c) (* b d))) (cube (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cube (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (cbrt (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (cbrt (+ (sqr c) (* d d))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (sqr c) (* d d)))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (sqr c) (* d d)))) * [enter]simplify: Simplifying (/ 1 (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [enter]simplify: Simplifying (- (sqr (* a c)) (sqr (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [exit]simplify: Simplified to (- (* (* c a) (* c a)) (sqr (* b d))) * [enter]simplify: Simplifying (- (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [exit]simplify: Simplified to (- (* c a) (* d b)) * [enter]simplify: Simplifying (* (+ (sqr c) (sqr d)) (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (+ (sqr c) (* d d)) (+ (sqr (* c a)) (* (* b d) (- (* b d) (* c a))))) * [exit]simplify: Simplified to (* (+ (sqr c) (* d d)) (+ (sqr (* c a)) (* (* b d) (- (* b d) (* c a))))) * [enter]simplify: Simplifying (/ (+ (sqr c) (sqr d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (/ (+ (sqr c) (* d d)) (+ (* c a) (* b d))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cube (cbrt (+ (/ 1 (sqr d)) (/ 1 (sqr c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (/ 1 (* c c)) (/ 1 (* d d)))) * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (cube (cbrt (+ (sqr c) (sqr d)))) (+ (sqr (* a c)) (- (sqr (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (+ (* (* b d) (- (* b d) (* a c))) (* (* a c) (* a c))) (+ (sqr c) (* d d))) * [exit]simplify: Simplified to (* (+ (* (* b d) (- (* b d) (* a c))) (* (* a c) (* a c))) (+ (sqr c) (* d d))) * [enter]simplify: Simplifying (cbrt (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* d b)) (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (log (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [exit]simplify: Simplified to (log (+ (* c a) (* d b))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* d b)) (+ (* d d) (* c c))) * [enter]simplify: Simplifying (cbrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* d b)))