* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d 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 (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ (* c a) (pow c 2)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d 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 (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (/ (* c a) (+ (pow d 2) (pow c 2))) into (/ (* c a) (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d 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 (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d 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 (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [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 (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (pow d 2) (pow c 2))) into (/ (* b d) (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d 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 (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [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 (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (pow d 2) (pow c 2))) into (/ (* b d) (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (pow d 2) (pow c 2))) 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 (+ (pow d 2) (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) 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 (+ (pow d 2) (pow c 2))) (+ (* (/ (* b d) (+ (pow d 2) (pow c 2))) (/ 0 (+ (pow d 2) (pow c 2)))))) into (/ c (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow d 2) (pow c 2))) 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 (+ (pow d 2) (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) 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 (+ (pow d 2) (pow c 2))) (+ (* (/ (* b d) (+ (pow d 2) (pow c 2))) (/ 0 (+ (pow d 2) (pow c 2)))) (* (/ c (+ (pow d 2) (pow c 2))) (/ 0 (+ (pow d 2) (pow c 2)))))) 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 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) 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))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 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 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 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 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 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 (pow c 2)) (/ 1 (pow d 2)))) 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 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) 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 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 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 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 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 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)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 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 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 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 (pow c 2)) (/ 1 (pow d 2)))) 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 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) 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 (- 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 (- 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 (- 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 (- 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 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* d (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 (- (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 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 (+ (* c a) (* b d)) * [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 (+ (* c a) (* b d)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 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 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 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 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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 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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- 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 (- 0) into 0 * [misc]backup-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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow d 2) (pow c 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (+ (* d d) (* c c)))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) 3) * [exit]simplify: Simplified to (pow (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) 3) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) 3) * [exit]simplify: Simplified to (pow (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) 3) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 9 / 62 ] 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) (* b d))) * [exit]simplify: Simplified to (- (+ (* c a) (* b d))) * [enter]simplify: Simplifying (- (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (+ (* d d) (* c c))) * [exit]simplify: Simplified to (- (+ (* d d) (* c c))) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (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 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) 1) (cbrt (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) 1) (cbrt (+ (* c a) (* b d)))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (+ (* d d) (* c c))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (+ (* d d) (* c c))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 18 / 62 ] 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)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 24 / 62 ] 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) (* b d)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) 1) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (cbrt (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (cbrt (+ (* b d) (* a c)))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d 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 (49 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (* (+ (* d d) (* c c)) (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (* (+ (* d d) (* c c)) (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c)))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* c c) (* d d)) (- (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (- (* a c) (* b d)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (* (- (* a c) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 32 / 62 ] 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) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] 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) (* b d))) * [exit]simplify: Simplified to (log (+ (* c a) (* b d))) * * * * [misc]progress: [ 35 / 62 ] 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) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 36 / 62 ] 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 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [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) (* b d))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * * * * [misc]progress: [ 38 / 62 ] 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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * [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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 39 / 62 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [enter]simplify: Simplifying (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [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) (* b d)) * [exit]simplify: Simplified to (- (* c a) (* b d)) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (cbrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* c c) 3) (pow (* d d) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [enter]simplify: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* c c) (* c c)) (* (* d d) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [enter]simplify: Simplifying (- (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* c c) (* d d)) * [exit]simplify: Simplified to (- (* c c) (* d d)) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (pow d 2) (pow c 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (pow d 2) (pow c 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (pow d 2) (pow c 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow d 2) (pow c 2)))) into (sqrt (/ 1 (+ (pow d 2) (pow c 2)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [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) (sqrt (+ (pow d 2) (pow c 2)))) into (* (* c a) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow d 2) (pow c 2)))) into (sqrt (/ 1 (+ (pow d 2) (pow c 2)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [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) (sqrt (+ (pow d 2) (pow c 2)))) into (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) 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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) 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 (* 2 (sqrt (pow c 2)))) into 0 * [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) c) into a * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [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) d) into b * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [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) d) into b * [misc]backup-simplify: Simplify (* (/ 1 d) b) into (/ b d) * [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]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (- (/ a d) (+ (* b (/ 0 d)))) into (/ a d) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) (/ a d)) (* 0 b)) into (/ a (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ a 1) into a * [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]taylor: Taking taylor expansion of 0 in a * [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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) 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 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]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* b (/ (/ 1/2 d) d)) (* (/ a d) (/ 0 d)))) into (- (* 1/2 (/ b (pow d 2)))) * [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]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ (/ 1/2 d) d)) (* 0 (/ 0 d)))) into (- (* 1/2 (/ 1 (pow d 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 d) (- (* 1/2 (/ b (pow d 2))))) (+ (* 0 (/ a d)) (* (- (* 1/2 (/ 1 (pow d 3)))) b))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [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]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1)) 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) (+ (* (/ 1 a) (/ 0 1)))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* b d))) (* 0 (/ 1 a))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ 1/2 (pow d 2)) 1)) (* (/ 1 (* b d)) (/ 0 1)))) into (- (* 1/2 (/ 1 (* (pow d 2) a)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* 0 (/ 1 (* b d))) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 1 a)))) into (- (/ 1 (* (pow d 2) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (pow d 2) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 2) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 2) a) in d * [misc]taylor: Taking taylor expansion of (pow d 2) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ 0 1)) (* (/ 1 (* b d)) (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (* (pow d 2) a)))) (/ 0 1)))) into (- (* 1/2 (/ 1 (* b (pow d 3))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (* b (pow d 3)))))) (+ (* 0 (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 1 (* b d))) (* 0 (/ 1 a))))) into (- (/ 1 (* b (pow d 3)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ -1/8 (pow d 4)) 1)) (* (/ 1 (* b d)) (/ 0 1)) (* (- (* 1/2 (/ 1 (* (pow d 2) a)))) (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ 0 1)))) into (* 3/8 (/ 1 (* (pow d 4) a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ -1/8 (pow d 4)) 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (* 3/8 (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (+ (* 1 (* 3/8 (/ 1 (* (pow d 4) a)))) (+ (* 0 (- (* 1/2 (/ 1 (* b (pow d 3)))))) (+ (* (- (* 1/2 (/ 1 (pow d 2)))) (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* 0 (/ 1 (* b d))) (* (* 3/8 (/ 1 (pow d 4))) (/ 1 a)))))) into (/ 1 (* (pow d 4) a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 4) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 4) a) in d * [misc]taylor: Taking taylor expansion of (pow d 4) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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]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]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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [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]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 -1)) 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) (+ (* (/ 1 a) (/ 0 1)))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* b d))) (* 0 (/ 1 a))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ 1/2 (pow d 2)) 1)) (* (/ 1 (* b d)) (/ 0 1)))) into (- (* 1/2 (/ 1 (* (pow d 2) 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* 0 (/ 1 (* b d))) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 1 a)))) into (- (/ 1 (* (pow d 2) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (pow d 2) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 2) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 2) a) in d * [misc]taylor: Taking taylor expansion of (pow d 2) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ 0 1)) (* (/ 1 (* b d)) (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (* (pow d 2) a)))) (/ 0 1)))) into (- (* 1/2 (/ 1 (* b (pow d 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (* b (pow d 3)))))) (+ (* 0 (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 1 (* b d))) (* 0 (/ 1 a))))) into (- (/ 1 (* b (pow d 3)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 a) (/ (/ -1/8 (pow d 4)) 1)) (* (/ 1 (* b d)) (/ 0 1)) (* (- (* 1/2 (/ 1 (* (pow d 2) a)))) (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ 0 1)))) into (* 3/8 (/ 1 (* (pow d 4) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ -1/8 (pow d 4)) 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (* 3/8 (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (+ (* 1 (* 3/8 (/ 1 (* (pow d 4) a)))) (+ (* 0 (- (* 1/2 (/ 1 (* b (pow d 3)))))) (+ (* (- (* 1/2 (/ 1 (pow d 2)))) (- (* 1/2 (/ 1 (* (pow d 2) a))))) (+ (* 0 (/ 1 (* b d))) (* (* 3/8 (/ 1 (pow d 4))) (/ 1 a)))))) into (/ 1 (* (pow d 4) a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 4) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 4) a) in d * [misc]taylor: Taking taylor expansion of (pow d 4) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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]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]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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) 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 (* 2 (sqrt (pow c 2)))) into 0 * [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) c) into a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [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) (sqrt (+ (pow d 2) (pow c 2)))) into (* (* c a) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [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) d) into b * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [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) (sqrt (+ (pow d 2) (pow c 2)))) into (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow d 2) (pow c 2))) into (sqrt (+ (pow d 2) (pow c 2))) * [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 (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [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) (sqrt (+ (pow d 2) (pow c 2)))) into (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) 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 (sqrt (/ 1 (+ (pow d 2) (pow c 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow d 2) (pow c 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow d 2) (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* (* b d) (/ 1 d)) into b * [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 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]backup-simplify: Simplify (- (/ c (sqrt (+ (pow d 2) (pow c 2)))) (+ (* (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) (/ 0 (sqrt (+ (pow d 2) (pow c 2))))))) into (* c (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) * [misc]taylor: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) 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 (sqrt (/ 1 (+ (pow d 2) (pow c 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow d 2) (pow c 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow d 2) (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (/ 1 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 (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* (* b d) 0) (* 0 (/ 1 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 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 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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow d 2) (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow d 2) (pow c 2)))) (+ (* (* (* b d) (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) (/ 0 (sqrt (+ (pow d 2) (pow c 2))))) (* (* c (sqrt (/ 1 (+ (pow d 2) (pow c 2))))) (/ 0 (sqrt (+ (pow d 2) (pow c 2))))))) 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 (/ 1 d))) into (/ 1 d) * [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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* (* b d) (/ -1/2 (pow d 3))) (+ (* 0 0) (* 0 (/ 1 d)))) into (- (* 1/2 (/ b (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ b (pow d 2)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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]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 (* 1 (* b (* 1 1)))) into b * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [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) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) 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 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 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 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- (+ (* (/ 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 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 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 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 (* (/ 1 (* b d)) 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]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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 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 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 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]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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [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 (- 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 (- 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 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [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) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 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 (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 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 (- 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 (- 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 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 (* (/ 1 (* b d)) 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]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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 (- 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 (- 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 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]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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 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 (+ (* c a) (* b d)) * [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 (+ (* c a) (* b d)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 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 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 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 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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 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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- 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 (- 0) into 0 * [misc]backup-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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow d 2) (pow c 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 2 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (+ (* c c) (* d d))))) (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (* d d) (* c c))))) (- (log (+ (* d b) (* c a))) (log (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (* d d) (* c c))))) (- (log (+ (* d b) (* c a))) (log (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 4 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (+ (* c c) (* d d))))) (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (* d d) (* c c))))) (log (/ (+ (* d b) (* c a)) (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ (* d d) (* c c))))) (log (/ (+ (* d b) (* c a)) (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 5 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (+ (* c c) (* d d))))) (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (- (log (+ (* d b) (* a c))) (log (sqrt (+ (* d d) (* c c))))) (- (log (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (+ (- (log (+ (* d b) (* a c))) (log (sqrt (+ (* d d) (* c c))))) (- (log (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 6 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (+ (* c c) (* d d))))) (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* d d) (* c c))))) (- (log (sqrt (+ (* d d) (* c c)))) (log (+ (* d b) (* a c))))) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* d d) (* c c))))) (- (log (sqrt (+ (* d d) (* c c)))) (log (+ (* d b) (* a c))))) * * * * [misc]progress: [ 7 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (log (/ (+ (* b d) (* c a)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (log (/ (+ (* b d) (* c a)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 8 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (exp (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (exp (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 9 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (pow 1 3) (+ (* d d) (* c c))) (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* d d) (* c c))) (+ (* a c) (* b d)))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)))) * [exit]simplify: Simplified to (* (/ (/ (/ (pow 1 3) (+ (* d d) (* c c))) (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* d d) (* c c))) (+ (* a c) (* b d)))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)))) * * * * [misc]progress: [ 10 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))) (/ (/ (+ (* d d) (* c c)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) * [exit]simplify: Simplified to (/ (* (/ 1 (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))) (/ (/ (+ (* d d) (* c c)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) * * * * [misc]progress: [ 11 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (cbrt (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 12 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (pow (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) 3) * [exit]simplify: Simplified to (pow (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) 3) * * * * [misc]progress: [ 13 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 14 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * [exit]simplify: Simplified to (+ (* c a) (* d b)) * [enter]simplify: Simplifying (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (* d d) (* c c)) * [exit]simplify: Simplified to (+ (* d d) (* c c)) * * * * [misc]progress: [ 15 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* d d) (* c c)))) (cbrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* d d) (* c c)))) (cbrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 17 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 18 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* c a))) (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* c a))) (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 19 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* c a))) (cbrt (+ (* b d) (* c a)))) (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* c a))) (cbrt (+ (* b d) (* c a)))) (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 20 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* c a)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* c a)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 21 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (/ (sqrt 1) (cbrt (+ (* b d) (* c a))))) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (/ (sqrt 1) (cbrt (+ (* b d) (* c a))))) * * * * [misc]progress: [ 22 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* c a)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* c a)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 23 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* c a))) (cbrt (+ (* b d) (* c a)))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* c a))) (cbrt (+ (* b d) (* c a)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 24 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 25 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 26 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 27 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt 1)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt 1)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 28 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 29 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* c a))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 30 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 31 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (fabs (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 32 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 33 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 34 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 35 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 36 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 37 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 38 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) * * * * [misc]progress: [ 39 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))) * * * * [misc]progress: [ 40 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (+ (* d b) (* a c)) (sqrt (+ (* d d) (* c c)))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (/ (+ (* d b) (* a c)) (sqrt (+ (* d d) (* c c)))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 41 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (+ (* d b) (* a c)) (sqrt (+ (* d d) (* c c)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (/ (+ (* d b) (* a c)) (sqrt (+ (* d d) (* c c)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 42 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 43 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 44 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* (+ c d) (* d d)) (- d c)) (* (* c c) (* c c)))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* (+ c d) (* d d)) (- d c)) (* (* c c) (* c c)))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) * * * * [misc]progress: [ 45 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (/ (sqrt (+ (* d d) (* c c))) (sqrt (* (- c d) (+ c d))))) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (/ (sqrt (+ (* d d) (* c c))) (sqrt (* (- c d) (+ c d))))) * * * * [misc]progress: [ 46 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 47 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (+ (* d b) (* c a)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* d b) (* c a)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 48 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 51 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (log (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 52 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (exp (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 53 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (* (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* c a) (* b d)) (+ (* c a) (* b d))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* c a) (* b d)) (+ (* c a) (* b d))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 55 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (* (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) (/ (* (+ (* c a) (* b d)) (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (* (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) (/ (* (+ (* c a) (* b d)) (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 56 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 57 / 125 ] 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) (* b d))) * [exit]simplify: Simplified to (- (+ (* c a) (* b d))) * [enter]simplify: Simplifying (- (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (- (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 58 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 59 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (fabs (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (fabs (cbrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 60 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 61 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (/ (cbrt (+ (* c a) (* b d))) (sqrt 1))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (/ (cbrt (+ (* c a) (* b d))) (sqrt 1))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 62 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 63 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (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 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) 1) (cbrt (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* c a) (* b d))) 1) (cbrt (+ (* c a) (* b d)))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 64 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 65 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 66 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 67 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 68 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 69 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 70 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 71 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 72 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 73 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 74 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 75 / 125 ] 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)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 76 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 78 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * * * * [misc]progress: [ 79 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* b d)) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (+ (* c a) (* b d)) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 80 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (fabs (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 81 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 82 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt 1)) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt 1)) * * * * [misc]progress: [ 83 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 84 / 125 ] 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) (* b d)) 1) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) 1) * * * * [misc]progress: [ 85 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 86 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 87 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * * * * [misc]progress: [ 88 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * * * * [misc]progress: [ 89 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * * * [misc]progress: [ 90 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* d d) (* c c))) (- (* (* b d) (* b d)) (* (* c a) (- (* b d) (* c a))))) * [exit]simplify: Simplified to (* (sqrt (+ (* d d) (* c c))) (- (* (* b d) (* b d)) (* (* c a) (- (* b d) (* c a))))) * * * * [misc]progress: [ 91 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (* (- (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 92 / 125 ] 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) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 93 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 125 ] 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) (* b d))) * [exit]simplify: Simplified to (log (+ (* c a) (* b d))) * * * * [misc]progress: [ 95 / 125 ] 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) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 96 / 125 ] 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 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [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) (* b d))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 97 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * * * * [misc]progress: [ 98 / 125 ] 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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * [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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 99 / 125 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [enter]simplify: Simplifying (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * * * * [misc]progress: [ 100 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [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) (* b d)) * [exit]simplify: Simplified to (- (* c a) (* b d)) * * * * [misc]progress: [ 102 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * * * * [misc]progress: [ 104 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * * * * [misc]progress: [ 106 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * * * * [misc]progress: [ 107 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (cbrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 108 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * * * * [misc]progress: [ 109 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 110 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* c c) 3) (pow (* d d) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [enter]simplify: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * * * * [misc]progress: [ 111 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* c c) (* c c)) (* (* d d) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [enter]simplify: Simplifying (- (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* c c) (* d d)) * [exit]simplify: Simplified to (- (* c c) (* d d)) * * * * [misc]progress: [ 113 / 125 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 115 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 116 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 117 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ b (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 118 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ a (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 119 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* -1 a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- a) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 120 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 0 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 121 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 122 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 123 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 2) (pow c 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 124 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 2) (pow c 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 125 / 125 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 2) (pow c 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* c a)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in b * [misc]backup-simplify: Simplify d into d * [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]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [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 (/ (+ (pow d 2) (pow c 2)) (* c a)) into (/ (+ (pow d 2) (pow c 2)) (* c a)) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (pow d 2) (pow c 2)) (* c a))) into (/ (* c a) (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [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 (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [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 (/ (+ (pow d 2) (pow c 2)) (* b d)) into (/ (+ (pow d 2) (pow c 2)) (* b d)) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (pow d 2) (pow c 2)) (* b d))) into (/ (* b d) (+ (pow d 2) (pow c 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 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 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]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [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 (/ (pow c 2) (* c a)) into (/ c a) * [misc]backup-simplify: Simplify (/ 1 (/ c a)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [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 (/ (pow d 2) (* b d)) into (/ d b) * [misc]backup-simplify: Simplify (/ 1 (/ d b)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [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 (/ (pow d 2) (* b d)) into (/ d b) * [misc]backup-simplify: Simplify (/ 1 (/ d b)) into (/ b d) * [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]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (- (/ 0 (* b d)) (+ (* (/ d b) (/ a (* b d))))) into (- (/ a (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ b d) (/ (- (/ a (pow b 2))) (/ d b))))) into (/ a (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ a 1) into a * [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]taylor: Taking taylor expansion of 0 in a * [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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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]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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) 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 (- (/ 1 (* b d)) (+ (* (/ d b) (/ 0 (* b d))) (* (- (/ a (pow b 2))) (/ a (* b d))))) into (+ (/ 1 (* b d)) (/ (pow a 2) (* (pow b 3) d))) * [misc]backup-simplify: Simplify (- (+ (* (/ b d) (/ (+ (/ 1 (* b d)) (/ (pow a 2) (* (pow b 3) d))) (/ d b))) (* (/ a (pow d 2)) (/ (- (/ a (pow b 2))) (/ d b))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [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 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 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]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 d)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) * [misc]backup-simplify: Simplify (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 c)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) * [misc]backup-simplify: Simplify (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [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]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1)) 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 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) 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 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (/ 1 (* (pow d 2) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (pow d 2) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 2) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 2) a) in d * [misc]taylor: Taking taylor expansion of (pow d 2) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (/ 1 (* (pow d 2) a))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (/ 1 (* b (pow d 3)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ (pow a 3) (* (pow b 2) (pow d 4))) (/ (pow a 5) (* (pow b 4) (pow d 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (/ (pow a 3) (* (pow b 2) (pow d 4))) (/ (pow a 5) (* (pow b 4) (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (/ 1 (* (pow d 2) a))) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (/ 1 (* b (pow d 3)))) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* (pow d 4) a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 4) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 4) a) in d * [misc]taylor: Taking taylor expansion of (pow d 4) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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]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]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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 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]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 d)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) * [misc]backup-simplify: Simplify (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 c)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) * [misc]backup-simplify: Simplify (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [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]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 -1)) 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 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) 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 (- (/ (/ 1 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (/ 1 (* (pow d 2) a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (pow d 2) a))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 2) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 2) a) in d * [misc]taylor: Taking taylor expansion of (pow d 2) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (/ 1 (* (pow d 2) a))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (/ 1 (* b (pow d 3)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) 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 (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in 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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ (pow a 3) (* (pow b 2) (pow d 4))) (/ (pow a 5) (* (pow b 4) (pow d 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (/ (pow a 3) (* (pow b 2) (pow d 4))) (/ (pow a 5) (* (pow b 4) (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (/ (pow a 2) (* b (pow d 3))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (/ 1 (* (pow d 2) a))) (/ (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (/ 1 (* b (pow d 3)))) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* (pow d 4) a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow d 4) a)) in d * [misc]taylor: Taking taylor expansion of (* (pow d 4) a) in d * [misc]taylor: Taking taylor expansion of (pow d 4) 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 a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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]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]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]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in b * [misc]backup-simplify: Simplify d into d * [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]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [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 (/ (+ (pow d 2) (pow c 2)) (* c a)) into (/ (+ (pow d 2) (pow c 2)) (* c a)) * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [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 (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow d 2) (pow c 2)) * [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 (/ (+ (pow d 2) (pow c 2)) (* b d)) into (/ (+ (pow d 2) (pow c 2)) (* b d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 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 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]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [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 (/ (pow c 2) (* c a)) into (/ c a) * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [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 (/ (pow d 2) (* b d)) into (/ d b) * [misc]taylor: Taking taylor expansion of (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [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]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [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 (/ (pow d 2) (* b d)) into (/ d b) * [misc]taylor: Taking taylor expansion of (/ d b) 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 b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [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]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (- (/ 0 (* b d)) (+ (* (/ d b) (/ a (* b d))))) into (- (/ a (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ a (pow b 2))) in d * [misc]taylor: Taking taylor expansion of (/ a (pow b 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log b))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log b)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 2 (log b)) into (* 2 (log b)) * [misc]backup-simplify: Simplify (exp (* 2 (log b))) into (pow b 2) * [misc]backup-simplify: Simplify (/ a (pow b 2)) into (/ a (pow b 2)) * [misc]backup-simplify: Simplify (- (/ a (pow b 2))) into (- (/ a (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ a (pow b 2))) in a * [misc]taylor: Taking taylor expansion of (/ a (pow b 2)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of (exp (* 2 (log b))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 2 (log b)) into (* 2 (log b)) * [misc]backup-simplify: Simplify (exp (* 2 (log b))) into (pow b 2) * [misc]backup-simplify: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) 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 (- (/ 1 (* b d)) (+ (* (/ d b) (/ 0 (* b d))) (* (- (/ a (pow b 2))) (/ a (* b d))))) into (+ (/ 1 (* b d)) (/ (pow a 2) (* (pow b 3) d))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* b d)) (/ (pow a 2) (* (pow b 3) d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* (pow b 3) d)) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log a))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log a)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 2 (log a)) into (* 2 (log a)) * [misc]backup-simplify: Simplify (exp (* 2 (log a))) into (pow a 2) * [misc]taylor: Taking taylor expansion of (* (pow b 3) d) in d * [misc]taylor: Taking taylor expansion of (pow b 3) in d * [misc]taylor: Taking taylor expansion of (exp (* 3 (log b))) in d * [misc]taylor: Taking taylor expansion of (* 3 (log b)) in d * [misc]taylor: Taking taylor expansion of 3 in d * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 3 (log b)) into (* 3 (log b)) * [misc]backup-simplify: Simplify (exp (* 3 (log b))) into (pow b 3) * [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 (* (pow b 3) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 3) 1) (* 0 0)) into (pow b 3) * [misc]backup-simplify: Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3)) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 3) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (pow b 2))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 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]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 d)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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]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 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 c)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1)) 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 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* b d)) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log a))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log a)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 2 (log a)) into (* 2 (log a)) * [misc]backup-simplify: Simplify (exp (* 2 (log a))) into (pow a 2) * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) * [misc]backup-simplify: Simplify (- (/ (pow a 2) b)) into (- (/ (pow a 2) b)) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) b)) in a * [misc]taylor: Taking taylor expansion of (/ (pow a 2) b) in a * [misc]taylor: Taking taylor expansion of (pow a 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) 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 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow a 3) in d * [misc]taylor: Taking taylor expansion of (exp (* 3 (log a))) in d * [misc]taylor: Taking taylor expansion of (* 3 (log a)) in d * [misc]taylor: Taking taylor expansion of 3 in d * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (exp (* 3 (log a))) into (pow a 3) * [misc]taylor: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log b))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log b)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 2 (log b)) into (* 2 (log b)) * [misc]backup-simplify: Simplify (exp (* 2 (log b))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in (c d a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 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]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 d)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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]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 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [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 (pow c 2)) (/ 1 (pow d 2))) (/ 1 c)) into (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 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]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]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 -1)) 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 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* b d)) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log a))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log a)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 2 (log a)) into (* 2 (log a)) * [misc]backup-simplify: Simplify (exp (* 2 (log a))) into (pow a 2) * [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]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) * [misc]backup-simplify: Simplify (- (/ (pow a 2) b)) into (- (/ (pow a 2) b)) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) b)) in a * [misc]taylor: Taking taylor expansion of (/ (pow a 2) b) in a * [misc]taylor: Taking taylor expansion of (pow a 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) 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 (- (/ (/ 1 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ a (pow d 2)) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow a 3) in d * [misc]taylor: Taking taylor expansion of (exp (* 3 (log a))) in d * [misc]taylor: Taking taylor expansion of (* 3 (log a)) in d * [misc]taylor: Taking taylor expansion of 3 in d * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (* 3 (log a)) into (* 3 (log a)) * [misc]backup-simplify: Simplify (exp (* 3 (log a))) into (pow a 3) * [misc]taylor: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of (exp (* 2 (log b))) in d * [misc]taylor: Taking taylor expansion of (* 2 (log b)) in d * [misc]taylor: Taking taylor expansion of 2 in d * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 2 (log b)) into (* 2 (log b)) * [misc]backup-simplify: Simplify (exp (* 2 (log b))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log a))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [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 (+ (* c a) (* b d)) * [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 (+ (* c a) (* b d)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 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 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 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 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 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 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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (- 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 (- 0) into 0 * [misc]backup-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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow d 2) (pow c 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (* c c) (* d d))) (log (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (- (- (log (+ (* d d) (* c c))) (log (+ (* b d) (* c a))))) * [exit]simplify: Simplified to (- (- (log (+ (* d d) (* c c))) (log (+ (* b d) (* c a))))) * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (- (log (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * [exit]simplify: Simplified to (- (log (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (log (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (log (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (exp (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) (cbrt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* b d) (* c a)) (+ (* d d) (* c c))) 3) * [exit]simplify: Simplified to (pow (/ (+ (* b d) (* c a)) (+ (* d d) (* c c))) 3) * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (sqrt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 (- (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (- (+ (* d d) (* c c))) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (- (+ (* d d) (* c c))) (+ (* b d) (* a c))) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) (cbrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* c a))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a))))) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* c a))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a))))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* c a))) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* c a))) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) 1)) * * [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) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (* c c) (* d d))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a)))) * [exit]simplify: Simplified to (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a)))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d b) (* c a))) * [exit]simplify: Simplified to (sqrt (+ (* d b) (* c a))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 26 / 95 ] 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 * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) (+ (pow (* a c) 3) (pow (* b d) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (+ (pow (* b d) 3) (pow (* a c) 3)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (pow (* b d) 3) (pow (* a c) 3)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) (- (* (* a c) (* a c)) (* (* b d) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ (- (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (* (/ (- (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* b d) (* a c))) * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* c c) (* d d))) (log (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (log (+ (* d d) (* c c))) (log (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (- (log (+ (* d d) (* c c))) (log (+ (* b d) (* c a)))) * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (log (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (log (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (exp (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* d d) (* c c)) (+ (* a c) (* b d))) 3) * [exit]simplify: Simplified to (pow (/ (+ (* d d) (* c c)) (+ (* a c) (* b d))) 3) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) (cbrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))))) * [enter]simplify: Simplifying (cbrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (cbrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) 3) * [exit]simplify: Simplified to (pow (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) 3) * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [enter]simplify: Simplifying (sqrt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (sqrt (/ (+ (* d d) (* c c)) (+ (* b d) (* a c)))) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (+ (* d d) (* c c))) * [exit]simplify: Simplified to (- (+ (* d d) (* c c))) * [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) (* b d))) * [exit]simplify: Simplified to (- (+ (* c a) (* b d))) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) (sqrt (+ (* a c) (* b d)))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) (sqrt (+ (* a c) (* b d)))) * [enter]simplify: Simplifying (/ (cbrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (/ (cbrt (+ (* d d) (* c c))) 1)) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (/ (cbrt (+ (* d d) (* c c))) 1)) * [enter]simplify: Simplifying (/ (cbrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * [exit]simplify: Simplified to (/ (cbrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) (cbrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) (cbrt (+ (* b d) (* c a)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (sqrt (+ (* b d) (* c a)))) * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * [exit]simplify: Simplified to (/ (sqrt (+ (* d d) (* c c))) (+ (* b d) (* c a))) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* d b) (* c a)))) (cbrt (+ (* d b) (* c a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* d b) (* c a)))) (cbrt (+ (* d b) (* c a)))) * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (cbrt (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (cbrt (+ (* b d) (* a c)))) * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d b) (* c a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d b) (* c a)))) * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * * * * [misc]progress: [ 48 / 95 ] 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 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d b) (* c a))) * [exit]simplify: Simplified to (/ 1 (+ (* d b) (* c a))) * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) 1) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) 1) * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (cbrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (+ (pow (* a c) 3) (pow (* b d) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (pow (* b d) 3) (pow (* a c) 3))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (pow (* b d) 3) (pow (* a c) 3))) * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (- (* (* a c) (* a c)) (* (* b d) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (* (+ (* b d) (* a c)) (- (* a c) (* b d)))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (* (+ (* b d) (* a c)) (- (* a c) (* b d)))) * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a c) (* b d)) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (* (+ (* (* c c) (* c c)) (* (* (* d d) (+ c d)) (- d c))) (+ (* c a) (* b d))) * [exit]simplify: Simplified to (* (+ (* (* c c) (* c c)) (* (* (* d d) (+ c d)) (- d c))) (+ (* c a) (* b d))) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a c) (* b d)) (- (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (* (+ (* c a) (* b d)) (- (* c c) (* d d))) * [exit]simplify: Simplified to (* (+ (* c a) (* b d)) (- (* c c) (* d d))) * * * * [misc]progress: [ 62 / 95 ] 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) (* d b))) * [exit]simplify: Simplified to (exp (+ (* c a) (* d b))) * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 95 ] 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) (* b d))) * [exit]simplify: Simplified to (log (+ (* c a) (* b d))) * * * * [misc]progress: [ 65 / 95 ] 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) (* b d))) * [exit]simplify: Simplified to (exp (+ (* c a) (* b d))) * * * * [misc]progress: [ 66 / 95 ] 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 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [exit]simplify: Simplified to (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d)))) * [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) (* b d))) * [exit]simplify: Simplified to (cbrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * [exit]simplify: Simplified to (pow (+ (* c a) (* b d)) 3) * * * * [misc]progress: [ 68 / 95 ] 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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * [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) (* b d))) * [exit]simplify: Simplified to (sqrt (+ (* c a) (* b d))) * * * * [misc]progress: [ 69 / 95 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [exit]simplify: Simplified to (+ (pow (* c a) 3) (pow (* d b) 3)) * [enter]simplify: Simplifying (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * [exit]simplify: Simplified to (+ (* (* c a) (* c a)) (* (- (* d b) (* c a)) (* d b))) * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [exit]simplify: Simplified to (* (- (* c a) (* d b)) (+ (* c a) (* d b))) * [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) (* b d)) * [exit]simplify: Simplified to (- (* c a) (* b d)) * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * [exit]simplify: Simplified to (log (+ (* d d) (* c c))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * [exit]simplify: Simplified to (exp (+ (* d d) (* c c))) * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (cbrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (cbrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * [exit]simplify: Simplified to (pow (+ (* d d) (* c c)) 3) * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* c c) 3) (pow (* d d) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [exit]simplify: Simplified to (+ (pow (* d d) 3) (* (pow c 3) (pow c 3))) * [enter]simplify: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * [exit]simplify: Simplified to (- (+ (* (* c c) (* c c)) (* (* d d) (* d d))) (* (* d c) (* d c))) * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* c c) (* c c)) (* (* d d) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [exit]simplify: Simplified to (- (* (* c c) (* c c)) (* (* d d) (* d d))) * [enter]simplify: Simplifying (- (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (* c c) (* d d)) * [exit]simplify: Simplified to (- (* c c) (* d d)) * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (/ 1 0) * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (/ 1 0) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (/ 1 0) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) 0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) (+ (* c a) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (* c c) (* d d)) (+ (* c a) (* b d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (pow d 2) (pow c 2)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (pow d 2) (pow c 2)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (pow d 2) (pow c 2)) (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* c c) (* d d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* c c) (* d d))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* c c) (* d d)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c 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 c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) 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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* c c) (* d d))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* c c) (* d d)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* c c) (* d d))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* c c) (* d d)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d 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 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 (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (pow d 1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log d))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log d)) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log d)) 0) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]backup-simplify: Simplify (pow d 1/3) into (pow d 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log d)) 0) into (log d) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 d)) 1)) (pow d 1)))) 2) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (log d)))) into (* 1/6 (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) in d * [misc]taylor: Taking taylor expansion of 1/6 in d * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow d 5)) 1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow d 5))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow d 5)))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow d 5))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 5)) in d * [misc]taylor: Taking taylor expansion of (pow d 5) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log d)) 0) into (- (* 5 (log d))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log d)))) into (* -5/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log d))) into (pow d -5/3) * [misc]backup-simplify: Simplify (* 1/6 (pow d -5/3)) into (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log d)) 0) into (log d) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 d)) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log d)) 0) into (- (* 5 (log d))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow d -5/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log d)) 0) into (log d) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (pow (/ 1 (pow d 5)) 1/3)) (pow (* 1 c) 2)) (pow d 1/3)) into (+ (pow d 1/3) (* 1/6 (* (pow c 2) (pow (/ 1 (pow d 5)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 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 (/ 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 d) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (pow c -1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log c))) in d * [misc]taylor: Taking taylor expansion of (* -1/3 (log c)) in d * [misc]taylor: Taking taylor expansion of -1/3 in d * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* -1/3 (log c)) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (pow c -1/3) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow d 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (- (log c))))) into (* 1/6 (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of 1/6 in d * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow (/ 1 c) 1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log (/ 1 c)) into (log (/ 1 c)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 c))) into (* 1/3 (log (/ 1 c))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 c)))) into (pow (/ 1 c) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 c) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 c)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 c) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 c) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 c)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 c) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 c) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 c) 1/3) 1) into (pow (/ 1 c) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 c) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow d 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (- (log c)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow c -1/3) into (pow c -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 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 (/ 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 (- d)) (/ 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 (/ 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (pow c -1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log c))) in d * [misc]taylor: Taking taylor expansion of (* -1/3 (log c)) in d * [misc]taylor: Taking taylor expansion of -1/3 in d * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* -1/3 (log c)) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (pow c -1/3) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow d 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (- (log c))))) into (* 1/6 (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of 1/6 in d * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 c) 1/3) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow (/ 1 c) 1/3) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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]backup-simplify: Simplify (log (/ 1 c)) into (log (/ 1 c)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 c))) into (* 1/3 (log (/ 1 c))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 c)))) into (pow (/ 1 c) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [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 (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 c) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 c)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 c) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 c) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 c)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 c) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 c) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 c) 1/3) 1) into (pow (/ 1 c) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 c) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow c 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 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 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow d 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow d 2))) (+ (* 0 0) (* 0 (- (log c)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow d 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (pow c -1/3) into (pow c -1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in c * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in c * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (pow c 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log c))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log c)) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (pow c 1/3) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) 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 (pow 0 2) (+)) (* 2 c)) into (/ 1/2 c) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 c)) 1)) (pow c 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c)))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow c 5)) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow c 5))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow c 5)))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow c 5))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 5)) in c * [misc]taylor: Taking taylor expansion of (pow c 5) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log c)))) into (* -5/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log c))) into (pow c -5/3) * [misc]backup-simplify: Simplify (* 1/6 (pow c -5/3)) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 2 (* 0 (/ 1/2 c))))) (* 2 c)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow c 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 c)) 1)) (pow c 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow c 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow c -5/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow (* 1 d) 2)) (pow c 1/3)) into (+ (pow c 1/3) (* 1/6 (* (pow (/ 1 (pow c 5)) 1/3) (pow d 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (pow d -1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log d))) in c * [misc]taylor: Taking taylor expansion of (* -1/3 (log d)) in c * [misc]taylor: Taking taylor expansion of -1/3 in c * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* -1/3 (log d)) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 d) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 d)) into (log (/ 1 d)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 d))) into (* 1/3 (log (/ 1 d))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 d)))) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 d) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 d) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 d) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 d) 1/3)) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (pow d -1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log d))) in c * [misc]taylor: Taking taylor expansion of (* -1/3 (log d)) in c * [misc]taylor: Taking taylor expansion of -1/3 in c * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* -1/3 (log d)) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 d) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 d)) into (log (/ 1 d)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 d))) into (* 1/3 (log (/ 1 d))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 d)))) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 d) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 d) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 d) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 d) 1/3)) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in c * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in c * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (pow c 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log c))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log c)) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (pow c 1/3) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) 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 (pow 0 2) (+)) (* 2 c)) into (/ 1/2 c) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 c)) 1)) (pow c 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c)))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow c 5)) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow c 5))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow c 5)))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow c 5))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 5)) in c * [misc]taylor: Taking taylor expansion of (pow c 5) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log c)))) into (* -5/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log c))) into (pow c -5/3) * [misc]backup-simplify: Simplify (* 1/6 (pow c -5/3)) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log c)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 2 (* 0 (/ 1/2 c))))) (* 2 c)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow c 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 c)) 1)) (pow c 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow c 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow c -5/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log c)) 0) into (log c) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow (* 1 d) 2)) (pow c 1/3)) into (+ (pow c 1/3) (* 1/6 (* (pow (/ 1 (pow c 5)) 1/3) (pow d 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (pow d -1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log d))) in c * [misc]taylor: Taking taylor expansion of (* -1/3 (log d)) in c * [misc]taylor: Taking taylor expansion of -1/3 in c * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* -1/3 (log d)) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 d) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 d)) into (log (/ 1 d)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 d))) into (* 1/3 (log (/ 1 d))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 d)))) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 d) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 d) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 d) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 d) 1/3)) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]taylor: Taking taylor expansion of (pow d -1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log d))) in c * [misc]taylor: Taking taylor expansion of (* -1/3 (log d)) in c * [misc]taylor: Taking taylor expansion of -1/3 in c * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* -1/3 (log d)) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) in c * [misc]taylor: Taking taylor expansion of 1/6 in c * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 d) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 d)) into (log (/ 1 d)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 d))) into (* 1/3 (log (/ 1 d))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 d)))) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 d) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 d) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 d) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 d)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 d) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 d) 1/3)) into (pow (/ 1 d) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 d) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow d -1/3) into (pow d -1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in c * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in c * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in c * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in c * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]backup-simplify: Simplify (/ (/ 1 d) (pow d 1/3)) into (pow (/ 1 (pow d 4)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in c * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in c * [misc]taylor: Taking taylor expansion of (* d 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 d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* c 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 c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow d 2) 0) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [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 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 1/3 (log d)) into (* 1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log d))) into (pow d 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow d 4)) 1/3) (pow d 1/3)) into (pow (/ 1 (pow d 5)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow c 1/3)) into (pow (/ 1 (pow c 4)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow c 4)) 1/3) (pow c 1/3)) into (pow (/ 1 (pow c 5)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow c 1/3)) into (pow (/ 1 (pow c 4)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* d d) (* c c))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* d d) (* c c)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* d d) (* c c))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* d d) (* c c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* d d) (* c c))) in d * [misc]taylor: Taking taylor expansion of (+ (* d d) (* c c)) in d * [misc]taylor: Taking taylor expansion of (* d 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 d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* c 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 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 (pow c 2) * [misc]backup-simplify: Simplify (+ 0 (pow c 2)) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [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 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 1/3 (log c)) into (* 1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log c))) into (pow c 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow c 4)) 1/3) (pow c 1/3)) into (pow (/ 1 (pow c 5)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow c 5)) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow c 5))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow c 5)))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow c 5))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 5)) in c * [misc]taylor: Taking taylor expansion of (pow c 5) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 5 (log c)))) into (* -5/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -5/3 (log c))) into (pow c -5/3) * [misc]backup-simplify: Simplify (pow c -5/3) into (pow c -5/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 1/3)) (+ (* (pow (/ 1 (pow c 4)) 1/3) (/ 0 (pow c 1/3))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 1/3)) (+ (* (pow (/ 1 (pow c 5)) 1/3) (/ 0 (pow c 1/3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log c))) (+ (* (/ (pow 0 1) 1)))) 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 (pow 0 2) (+)) (* 2 c)) into (/ 1/2 c) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ (/ 1/2 c) c)) (* 0 (/ 0 c)))) into (- (* 1/2 (/ 1 (pow c 3)))) * [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 (pow 0 2) (+)) (* 2 c)) into (/ 1/2 c) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 c)) 1)) (pow c 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c)))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 (pow c 3)))) (pow c 1/3)) (+ (* (pow (/ 1 (pow c 4)) 1/3) (/ (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow c 1/3))) (* 0 (/ 0 (pow c 1/3))))) into (- (* 2/3 (pow (/ 1 (pow c 10)) 1/3))) * [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 (pow 0 2) (+)) (* 2 c)) into (/ 1/2 c) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow c 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 c)) 1)) (pow c 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c)))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 2/3 (pow (/ 1 (pow c 10)) 1/3))) (pow c 1/3)) (+ (* (pow (/ 1 (pow c 5)) 1/3) (/ (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow c 1/3))) (* 0 (/ 0 (pow c 1/3))))) into (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) in c * [misc]taylor: Taking taylor expansion of (* 5/6 (pow (/ 1 (pow c 11)) 1/3)) in c * [misc]taylor: Taking taylor expansion of 5/6 in c * [misc]backup-simplify: Simplify 5/6 into 5/6 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow c 11)) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow c 11))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow c 11)))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow c 11))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 11)) in c * [misc]taylor: Taking taylor expansion of (pow c 11) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 11) (log c)) 0) into (- (* 11 (log c))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 11 (log c)))) into (* -11/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -11/3 (log c))) into (pow c -11/3) * [misc]backup-simplify: Simplify (* 5/6 (pow c -11/3)) into (* 5/6 (pow (/ 1 (pow c 11)) 1/3)) * [misc]backup-simplify: Simplify (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) into (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) * [misc]backup-simplify: Simplify (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) into (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 5 (log c)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log c))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 2 (* 0 (/ 1/2 c))))) (* 2 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ (/ 1/2 c) c)) (* (- (* 1/2 (/ 1 (pow c 3)))) (/ 0 c)))) 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 (+ (* 2 (* 0 (/ 1/2 c))))) (* 2 c)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow c 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 c)) 1)) (pow c 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow c 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 1/3)) (+ (* (pow (/ 1 (pow c 4)) 1/3) (/ 0 (pow c 1/3))) (* 0 (/ (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow c 1/3))) (* (- (* 2/3 (pow (/ 1 (pow c 10)) 1/3))) (/ 0 (pow c 1/3))))) 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 (+ (* 2 (* 0 (/ 1/2 c))))) (* 2 c)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow c 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 c)) 1)) (pow c 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow c 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 1/3)) (+ (* (pow (/ 1 (pow c 5)) 1/3) (/ 0 (pow c 1/3))) (* 0 (/ (* 1/6 (pow (/ 1 (pow c 5)) 1/3)) (pow c 1/3))) (* (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) (/ 0 (pow c 1/3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 11) (log c)) 0) into (- (* 11 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 11 (log c))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -11/3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/6 0) (* 0 (pow c -11/3))) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 5) (log c)) 0) into (- (* 5 (log c))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 5 (log c))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5/3 (log c))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 5/6 (pow (/ 1 (pow c 11)) 1/3))) (pow (* 1 d) 2)) (pow c -5/3)) into (- (pow c -5/3) (* 5/6 (* (pow (/ 1 (pow c 11)) 1/3) (pow d 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow c -1/3)) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ (pow c 1/3) (pow c -1/3)) into (pow (pow c 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow d -1/3)) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (pow d 1/3) (pow d -1/3)) into (pow (pow d 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow d -1/3)) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 d) (/ 1 d)) (* (/ 1 c) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 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 (/ 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 c) (/ 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 (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (pow d 1/3) (pow d -1/3)) into (pow (pow d 2) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow d 2) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow d 2))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (log (pow d 2)) into (log (pow d 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow d 2))) into (* 1/3 (log (pow d 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow d 2)))) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow d 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d -1/3)) (+ (* (pow d 1/3) (/ 0 (pow d -1/3))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d -1/3)) (+ (* (pow (pow d 2) 1/3) (/ 0 (pow d -1/3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow d 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow d 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1/2 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 (pow c 2)))) (pow d -1/3)) (+ (* (pow d 1/3) (/ (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) (pow d -1/3))) (* 0 (/ 0 (pow d -1/3))))) into (- (* 2/3 (* (/ 1 (pow c 2)) (pow d 1/3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]backup-simplify: Simplify (- (/ (- (* 2/3 (* (/ 1 (pow c 2)) (pow d 1/3)))) (pow d -1/3)) (+ (* (pow (pow d 2) 1/3) (/ (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) (pow d -1/3))) (* 0 (/ 0 (pow d -1/3))))) into (- (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)))) in c * [misc]taylor: Taking taylor expansion of (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3))) in c * [misc]taylor: Taking taylor expansion of 5/6 in c * [misc]backup-simplify: Simplify 5/6 into 5/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (pow d 2) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow d 2))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (log (pow d 2)) into (log (pow d 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow d 2))) into (* 1/3 (log (pow d 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow d 2)))) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow d 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow d 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow d 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow d 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow d 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow d 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (pow d 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (pow d 2) 1/3)) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow d 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow d 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow d 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in (d c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow c -1/3)) into (pow c 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log c)) 0) into (- (log c)) * [misc]backup-simplify: Simplify (* 1/3 (- (log c))) into (* -1/3 (log c)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log c))) into (pow c -1/3) * [misc]backup-simplify: Simplify (/ (pow c 1/3) (pow c -1/3)) into (pow (pow c 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow d -1/3)) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (pow d 1/3) (pow d -1/3)) into (pow (pow d 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow d -1/3)) into (pow d 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Rewrote expression to (pow (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))))) in d * [misc]taylor: Taking taylor expansion of 1/3 in d * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- d)) (/ 1 (- d))) (* (/ 1 (- c)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 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 (/ 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 (- c)) (/ 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 (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (* 1/3 (- (log d))) into (* -1/3 (log d)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log d))) into (pow d -1/3) * [misc]backup-simplify: Simplify (/ (pow d 1/3) (pow d -1/3)) into (pow (pow d 2) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow d 2) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow d 2))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (log (pow d 2)) into (log (pow d 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow d 2))) into (* 1/3 (log (pow d 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow d 2)))) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow d 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d -1/3)) (+ (* (pow d 1/3) (/ 0 (pow d -1/3))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d -1/3)) (+ (* (pow (pow d 2) 1/3) (/ 0 (pow d -1/3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow d 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow d 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1/2 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 (pow c 2)))) (pow d -1/3)) (+ (* (pow d 1/3) (/ (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) (pow d -1/3))) (* 0 (/ 0 (pow d -1/3))))) into (- (* 2/3 (* (/ 1 (pow c 2)) (pow d 1/3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow c 2))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow c 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow c 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log d)) 0) into (- (log d)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow c 2))) (+ (* 0 0) (* 0 (- (log d))))) into (* 1/6 (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow c 2))) 1) 1)))) into (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) * [misc]backup-simplify: Simplify (- (/ (- (* 2/3 (* (/ 1 (pow c 2)) (pow d 1/3)))) (pow d -1/3)) (+ (* (pow (pow d 2) 1/3) (/ (* 1/6 (* (/ 1 (pow c 2)) (pow (/ 1 d) 1/3))) (pow d -1/3))) (* 0 (/ 0 (pow d -1/3))))) into (- (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)))) in c * [misc]taylor: Taking taylor expansion of (* 5/6 (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3))) in c * [misc]taylor: Taking taylor expansion of 5/6 in c * [misc]backup-simplify: Simplify 5/6 into 5/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (pow (pow d 2) 1/3)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (pow d 2) 1/3) in c * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow d 2))) in c * [misc]taylor: Taking taylor expansion of 1/3 in c * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (log (pow d 2)) into (log (pow d 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow d 2))) into (* 1/3 (log (pow d 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow d 2)))) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow d 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow d 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow d 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow d 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow d 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow d 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (pow d 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (pow d 2) 1/3)) into (pow (pow d 2) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow d 2) 1/3))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow d 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow d 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow d 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log d))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow d 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow d 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow d 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow d 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 4 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 5 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 6 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 7 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 8 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 9 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 10 / 689 ] 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 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* d d) (* c c)))) * * * * [misc]progress: [ 11 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* d d) (* d d)) (- (* (* d c) (* d c)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* d d) (* d d)) (- (* (* d c) (* d c)) (* (* c c) (* c c)))))) * * * * [misc]progress: [ 12 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (- (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- c d) (+ c d)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- c d) (+ c d)))) * * * * [misc]progress: [ 13 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 14 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * [exit]simplify: Simplified to (sqrt (+ (* d d) (* c c))) * * * * [misc]progress: [ 15 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 16 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 20 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 21 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 25 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 689 ] 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 (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 27 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* c c) (* c c)) (- (* (* c d) (* c d)) (* (* d d) (* d d)))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* c c) (* c c)) (- (* (* c d) (* c d)) (* (* d d) (* d d)))))) * * * * [misc]progress: [ 28 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (sqrt (- (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- d c) (+ d c)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- d c) (+ d c)))) * * * * [misc]progress: [ 29 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 30 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * * * * [misc]progress: [ 31 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 32 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 36 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 37 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 38 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 41 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 689 ] 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 (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 43 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* c c) (* c c)) (- (* (* c d) (* c d)) (* (* d d) (* d d)))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* (* c c) (* c c)) (- (* (* c d) (* c d)) (* (* d d) (* d d)))))) * * * * [misc]progress: [ 44 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (cbrt (sqrt (- (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (- d c) (+ d c)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (- d c) (+ d c)))) * * * * [misc]progress: [ 45 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * * * * [misc]progress: [ 47 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- 1) 1/3) 1/3) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (- 1) (+ 1/3 1/3)) * [exit]simplify: Simplified to (- (- 1) (+ 1/3 1/3)) * * * * [misc]progress: [ 50 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- -1 1/3) 1/3) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- -1 (+ 1/3 1/3)) * [exit]simplify: Simplified to (- -1 (+ 1/3 1/3)) * * * * [misc]progress: [ 51 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (sqrt (+ (* d d) (* c c))))) (log (cbrt (sqrt (+ (* d d) (* c c)))))) (log (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* c c) (* d d))))) (+ (log (cbrt (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* c c) (* d d))))) (+ (log (cbrt (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 53 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 1 (sqrt (+ (* d d) (* c c))))) (log (cbrt (sqrt (+ (* d d) (* c c)))))) (log (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (- (- (log (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d)))))) (log (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (- (- (- (log (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d)))))) (log (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 54 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (log (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* c c) (* d d))))) (+ (log (cbrt (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* c c) (* d d))))) (+ (log (cbrt (sqrt (+ (* c c) (* d d))))) (log (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 55 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (log (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 56 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (exp (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 57 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 1 (sqrt (+ (* d d) (* c c)))) (/ 1 (sqrt (+ (* d d) (* c c))))) (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (+ (* c c) (* d d))) * * * * [misc]progress: [ 58 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * * * [misc]progress: [ 59 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 60 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ (* c c) (* d d)) (sqrt (+ (* c c) (* d d))))) (+ (* c c) (* d d))) * [exit]simplify: Simplified to (/ (/ 1 (* (+ (* c c) (* d d)) (sqrt (+ (* c c) (* d d))))) (+ (* c c) (* d d))) * * * * [misc]progress: [ 61 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 62 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (- (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (- (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 64 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 65 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 66 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 68 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt 1) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt 1) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 70 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 71 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 73 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 74 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 75 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 76 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 77 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 78 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 79 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 80 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 81 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 82 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 83 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 84 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 85 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 86 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 87 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 88 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 89 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 90 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 91 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 92 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 93 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 94 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 95 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 96 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 97 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 98 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 99 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 100 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 101 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 102 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 103 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 104 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 105 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 106 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 107 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 108 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 109 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 110 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 111 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 112 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 113 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 114 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 115 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 116 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 117 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 118 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 119 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 120 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 121 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 122 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 123 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 124 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 125 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 126 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt 1) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt 1) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 127 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 128 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 129 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt 1))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt 1))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 130 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 131 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 132 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 133 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 134 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 135 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 136 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 137 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 138 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 139 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 140 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 141 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 142 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 143 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 144 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 145 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 146 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 147 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 148 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 149 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 150 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 151 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 152 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 153 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 154 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 155 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 156 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt 1)) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 157 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 158 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 159 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 160 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 161 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) 1) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 162 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 163 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 164 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 165 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 166 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 167 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 168 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 169 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 170 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 171 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 172 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 173 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 174 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 175 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 176 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 177 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 178 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 179 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 180 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 181 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 182 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 183 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 184 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 185 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 186 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 187 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 188 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 189 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 190 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 191 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 192 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 193 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 194 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 195 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 196 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 197 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 198 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 199 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 200 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 201 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 202 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 203 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 204 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 205 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 206 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 207 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 208 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 209 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 210 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 211 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 212 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 213 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 214 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 215 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 216 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 217 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 218 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 219 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 220 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 221 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 222 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 223 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 224 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 225 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 226 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 227 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 228 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 229 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 230 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt 1) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 231 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 232 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 233 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 234 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 235 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 236 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 237 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 238 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 239 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 240 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 241 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 242 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) 1) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 243 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 244 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 245 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 246 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 247 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 248 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 249 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 250 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 251 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 252 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 253 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 254 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 255 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 256 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 257 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 258 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 259 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 260 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 261 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 262 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 263 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 264 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 265 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 266 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 267 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 268 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 269 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 270 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 271 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 272 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 273 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 274 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 275 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 276 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 277 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 278 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 279 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 280 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 281 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 282 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 283 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 284 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 285 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 286 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 287 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 288 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 289 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 290 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 291 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 292 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 293 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt 1) (cbrt 1))) * [exit]simplify: Simplified to (/ 1 (* (cbrt 1) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 294 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 295 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 296 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 297 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 298 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 299 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 300 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 301 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 302 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 303 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 304 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 305 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 306 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 307 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 308 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 309 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 310 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 311 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 312 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 313 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 314 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 315 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 316 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 317 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 318 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 319 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 320 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 321 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 322 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 323 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 324 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 325 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 326 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 327 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 328 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 329 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 330 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 331 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 332 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 333 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 334 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 335 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 336 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 337 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 338 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 339 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 340 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 341 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 342 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 343 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 344 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 345 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 346 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 347 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 348 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 349 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 350 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 351 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 352 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 353 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 354 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 355 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 356 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 357 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 358 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 359 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 360 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 361 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 362 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 363 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 364 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 365 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 366 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 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 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 367 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 368 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 369 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 370 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 371 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 372 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 373 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 374 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt 1) (cbrt 1))) * [exit]simplify: Simplified to (/ 1 (* (cbrt 1) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 375 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 376 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 377 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (cbrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 378 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 379 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 380 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 381 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 382 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 383 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 384 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 385 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 386 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 387 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 388 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 389 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 390 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 391 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 392 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 393 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 394 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 395 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 396 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 397 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 398 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 399 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 400 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 401 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 402 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 403 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 404 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 405 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 406 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 407 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 408 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 409 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 410 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 411 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 412 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 413 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 414 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 415 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 416 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 417 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 418 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 419 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt 1) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt 1) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 420 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 421 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 422 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 423 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 424 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 425 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 426 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 427 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 428 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 429 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 430 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 431 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 432 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 433 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 434 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 435 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt 1)) (cbrt (sqrt 1)))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 436 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 437 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt 1) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt 1) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 438 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 439 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 440 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 441 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 442 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 443 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 444 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 445 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 446 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 447 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 448 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 449 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 450 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 451 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 452 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 453 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt 1)) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (sqrt 1)) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 454 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 455 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt 1) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt 1) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 456 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 457 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 458 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (cbrt 1)) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 459 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 460 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 461 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 462 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 463 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 464 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 465 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 466 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 467 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 468 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 469 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ d c) (* (- c d) (* c c))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 470 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 471 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 472 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 473 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 474 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 475 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* (+ d c) (* c c)) (- c d)) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 476 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 477 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 478 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* (* c c) (* c c)) (* (- (* c c) (* d d)) (* d d)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 479 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 480 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 481 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 482 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (cbrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 483 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (* (pow d 3) (pow d 3))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 484 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow (* c c) 3) (* (pow d 3) (pow d 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (- (* (* c c) (* c c)) (* (* c d) (* c d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 485 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (pow (* d d) 3) (pow (* c c) 3)))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* c c) (* c c)) (* (* (+ d c) d) (* d (- c d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 486 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 487 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 488 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 489 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 490 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 491 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 492 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 493 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ 1 (* (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 494 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 495 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 496 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 497 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 498 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (* (cbrt (sqrt 1)) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fabs (cbrt (+ (* d d) (* c c))))) (* (cbrt (sqrt 1)) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 499 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 500 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 501 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 502 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 503 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 504 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 505 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 506 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 507 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 508 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 509 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 510 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 511 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 512 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 513 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 514 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 515 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 516 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 517 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 518 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (* (cbrt 1) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 519 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 520 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 521 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 522 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 523 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 524 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 525 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 526 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 527 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 528 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 529 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 530 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 531 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 532 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 533 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 534 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (* (cbrt (sqrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (* (cbrt (sqrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 535 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 536 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt 1) (cbrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt 1) (cbrt 1))) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 537 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 538 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 539 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 540 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 541 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 542 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 543 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 544 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 545 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 546 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 547 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 548 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 549 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 550 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 551 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 552 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 553 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 554 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 555 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (* (- (* d d) (* c c)) (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 556 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 557 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 558 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 559 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (fabs (cbrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 560 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 561 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 562 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (+ d c) (- d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 563 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (cbrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 564 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 565 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 566 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (* (+ d c) (- d c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 567 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 568 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 569 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 570 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 571 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 572 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 573 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 574 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 575 / 689 ] 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 (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 576 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 577 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 578 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 579 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 580 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 581 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 1)) (sqrt (+ (* c c) (* d d)))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 582 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 583 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 584 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [enter]simplify: Simplifying (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 585 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 586 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 587 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 588 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 589 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 590 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (* (cbrt 1) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (* (cbrt 1) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 591 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (pow (* c c) 3))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 592 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 593 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 594 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 595 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 596 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 597 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 598 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 599 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt 1) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt 1) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (- (* d d) (* c c)) (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 600 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (+ (* c c) (* d d)) (- (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (+ (* c c) (* d d)) (- (* d d) (* c c)))))) (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 601 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (- d c) (+ d c)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 602 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 603 / 689 ] simplifiying candidate # * * * * [misc]progress: [ 604 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 605 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 606 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 607 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (fabs (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 608 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 609 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt 1))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 610 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 611 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt 1)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 612 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 613 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 614 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 615 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 616 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 617 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 618 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 619 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 620 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 621 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 622 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 623 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 624 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 625 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 626 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 627 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 628 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 629 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 630 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 631 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 632 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 633 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 634 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 635 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 636 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 637 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 638 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 639 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 640 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 641 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 642 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 643 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 644 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 645 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 646 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 647 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 648 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 649 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 650 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 651 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (* (/ (sqrt (+ (* c c) (* d d))) 1) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 652 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 653 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * * * * [misc]progress: [ 654 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d)))))) (cbrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 655 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 656 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * * * * [misc]progress: [ 657 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 658 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * * * * [misc]progress: [ 659 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * * * * [misc]progress: [ 660 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (- (* c c) (* d d))))))) * * * * [misc]progress: [ 661 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d))))) * * * * [misc]progress: [ 662 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 663 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (cbrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * * * * [misc]progress: [ 664 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * * * * [misc]progress: [ 665 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 666 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c))))) * * * * [misc]progress: [ 667 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 668 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 669 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (sqrt (cbrt (sqrt (+ (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (- d c) (+ d c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 670 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (sqrt (- (* d d) (* c c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ d c) (- d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 671 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 672 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (/ 1 (cbrt (sqrt (+ (* d d) (* c c)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) 1)) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) 1)) * * * * [misc]progress: [ 673 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* (* d d) (* d d)) (- (* (* c c) (* c c)) (* (* d d) (* c c))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))))) * * * * [misc]progress: [ 674 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (- (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (+ d c) (- d c))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (* (+ d c) (- d c))))) * * * * [misc]progress: [ 675 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (pow (* d d) 3) (pow (* c c) 3))))) * * * * [misc]progress: [ 676 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (- (* (* d d) (* d d)) (* (* c c) (* c c)))))) * * * * [misc]progress: [ 677 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 678 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (+ (pow d 1/3) (* 1/6 (* (pow c 2) (pow (/ 1 (pow d 5)) 1/3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (+ (cbrt d) (* (cbrt (/ 1 (pow d 5))) (* (* c c) 1/6)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 679 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (pow c -1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (* c a) (* b d)) (pow c -1/3)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 680 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (pow c -1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (* c a) (* b d)) (pow c -1/3)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 681 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (+ (pow c 1/3) (* 1/6 (* (pow (/ 1 (pow c 5)) 1/3) (pow d 2))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* d d) (* c c))))) (+ (cbrt c) (* (* (* d d) 1/6) (cbrt (/ 1 (pow c 5)))))) * * * * [misc]progress: [ 682 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (pow d -1/3)) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (pow d -1/3) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 683 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) (pow d -1/3)) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (* a c) (* d b)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (pow d -1/3) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 684 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (+ (pow c 1/3) (* 1/6 (* (pow (/ 1 (pow c 5)) 1/3) (pow d 2))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* c c) (* d d))))) (+ (cbrt c) (* (* 1/6 (* d d)) (cbrt (/ 1 (pow c 5)))))) (cbrt (sqrt (+ (* d d) (* c c))))) * * * * [misc]progress: [ 685 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (pow d -1/3)) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* a c) (* d b)) (pow d -1/3)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 686 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (pow d -1/3)) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* a c) (* d b)) (pow d -1/3)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 687 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow c -5/3) (* 5/6 (* (pow (/ 1 (pow c 11)) 1/3) (pow d 2)))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- (pow c -5/3) (* (cbrt (/ 1 (pow c 11))) (* (* d d) 5/6))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* d b)))) * * * * [misc]progress: [ 688 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 689 / 689 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # #) * [misc]regimes: searching between 4.882584437305985e+115 and 3.6348855732551786e+112 on c * [misc]regimes: Found splitpoints: (#s(sp 0 c 4.425182916831041e+115) #s(sp 1 c +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 c 4.425182916831041e+115))) * [misc]splitpoints: intervals are: ((#s(sp 0 c 4.425182916831041e+115) . #s(sp 1 c +inf.0))) * [enter]simplify: Simplifying (sqrt (/ (+ (* b d) (* c a)) (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* d b) (* c a)) (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (sqrt (/ (+ (* d b) (* c a)) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (+ (* c a) (* b d)) (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [exit]simplify: Simplified to (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) * [enter]simplify: Simplifying (/ 1 (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [exit]simplify: Simplified to (/ 1 (+ (* d d) (* c c))) * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [enter]simplify: Simplifying (/ 1 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (/ 1 0) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* c a) (* b d))) (sqrt (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* c a))) (cbrt (+ (* b d) (* c a)))) (sqrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* d b) (* c a))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* d b) (* c a))))) * [exit]simplify: Simplified to (/ (cbrt (+ (* d b) (* c a))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* d b) (* c a))))) * [enter]simplify: Simplifying (fabs (cbrt (+ (* d d) (* c c)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (+ (* d d) (* c c)))) * [exit]simplify: Simplified to (- (log (+ (* c a) (* b d))) (log (+ (* d d) (* c c)))) * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [enter]simplify: Simplifying (log (cbrt (sqrt (+ (* d d) (* c c))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [enter]simplify: Simplifying (/ 1 0) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (/ 1 0) * [enter]simplify: Simplifying (sqrt (+ (* d d) (* c c))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d)))