* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (+ 0 (- c)) into (- c) * [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]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 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 c) 1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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)))) 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))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* -1 (* (/ 1 (/ 1 c)) (* 1 (/ 1 (/ 1 a)))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 c) -1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) 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 (- 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))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* -1 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (/ 1 (- a))))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan a)) b) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [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]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]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 (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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]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]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 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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]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]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 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sqrt (atan a)) b) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (hypot (sqrt (atan a)) b)) (exp (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* c a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* c (- a)) * [exit]simplify: Simplified to (* c (- a)) * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [enter]simplify: Simplifying (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (+ (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (atan a))) * [exit]simplify: Simplified to (log (sqrt (atan a))) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (log (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (exp (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (cbrt (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (cube (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (sqrt (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (- (* c a)) into (- (* c a)) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) (- (* c a))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- a) (* c (* 1 1))) (hypot (sqrt (atan a)) b)) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in b * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (/ 1 (* c a)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (- (/ 1 (* c a))) into (- (/ 1 (* c a))) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (- (/ 1 (* c a)))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))) (* 0 (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in b * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (/ 1 (* c a)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (- (/ 1 (* c a))) into (- (/ 1 (* c a))) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (- (/ 1 (* c a)))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))) (* 0 (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (+ 0 (- c)) into (- c) * [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]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 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 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 (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 c) 1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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)))) 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))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* -1 (* (/ 1 (/ 1 c)) (* 1 (/ 1 (/ 1 a)))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- 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 (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) 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 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 c) -1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) 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 (- 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))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* -1 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (/ 1 (- a))))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ (/ 1 c) a)) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* a c))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (log (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (exp (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 17 / 60 ] 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 (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b)))) * [enter]simplify: Simplifying (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c)))) * [exit]simplify: Simplified to (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c)))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a)))) * [exit]simplify: Simplified to (cbrt (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a)))) * [enter]simplify: Simplifying (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b))) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (+ (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b))) (* (* a c) (* a c)))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [enter]simplify: Simplifying (cbrt (+ (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (cube (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (cube (cbrt (+ (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (* (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (hypot (sqrt (atan a)) b)) (exp (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* c a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* c (- a)) * [exit]simplify: Simplified to (* c (- a)) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [enter]simplify: Simplifying (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (+ (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (atan a))) * [exit]simplify: Simplified to (log (sqrt (atan a))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan a)) b) (* a c)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [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]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) into (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan a)) b) (* a c)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) 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]backup-simplify: Simplify (* a c) into (* c a) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) (* c a)) into (+ (hypot (sqrt (atan a)) b) (* c a)) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (+ (hypot (sqrt (atan a)) b) (* c a))) into (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (+ (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan a)) b) (* a c)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [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]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) into (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan a)) b) (* a c)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [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]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) into (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (- (* (sqr c) (sqr a))) into (- (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan a)) b)) (- (* (sqr c) (sqr a)))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) into (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan a)) b)) 0) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ (sqr (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan a)) b)) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ 0 c) into c * [misc]backup-simplify: Simplify (- (/ 0 (hypot (sqrt (atan a)) b)) (+ (* (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) (/ c (hypot (sqrt (atan a)) b))))) into (- (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) c) * [misc]taylor: Taking taylor expansion of (- (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) c) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) in b * [misc]taylor: Taking taylor expansion of (* (pow c 3) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (pow c 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log c))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log c)) 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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 3 (log c)) into (* 3 (log c)) * [misc]backup-simplify: Simplify (exp (* 3 (log c))) into (pow c 3) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (pow c 3) (sqr a)) into (* (pow c 3) (sqr a)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) into (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) 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 (+ (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) (- c)) into (- (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) c) * [misc]taylor: Taking taylor expansion of (- (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) c) in c * [misc]taylor: Taking taylor expansion of (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) in c * [misc]taylor: Taking taylor expansion of (* (pow c 3) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 1 (sqr a)) into (sqr a) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ (sqr a) (sqr (hypot (sqrt (atan a)) b))) into (/ (sqr a) (sqr (hypot (sqrt (atan a)) b))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (hypot (sqrt (atan a)) b)) (+ (* (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) (/ 0 (hypot (sqrt (atan a)) b))))) 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 (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (/ 0 (hypot (sqrt (atan a)) b))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (hypot (sqrt (atan a)) b)) (+ (* (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) (/ 0 (hypot (sqrt (atan a)) b))) (* (- (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) c) (/ c (hypot (sqrt (atan a)) b))))) into (- (/ (sqr c) (hypot (sqrt (atan a)) b)) (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (sqr c) (hypot (sqrt (atan a)) b)) (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) in b * [misc]taylor: Taking taylor expansion of (/ (sqr c) (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (/ (sqr c) (hypot (sqrt (atan a)) b)) into (/ (sqr c) (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3)) in b * [misc]taylor: Taking taylor expansion of (* (pow c 4) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (pow c 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log c))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log c)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 4 (log c)) into (* 4 (log c)) * [misc]backup-simplify: Simplify (exp (* 4 (log c))) into (pow c 4) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan a)) b) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan a)) b)))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan a)) b))) 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 (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan a)) b)) into (log (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan a)) b))) into (* 3 (log (hypot (sqrt (atan a)) b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan a)) b)))) into (pow (hypot (sqrt (atan a)) b) 3) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (pow c 4) (sqr a)) into (* (pow c 4) (sqr a)) * [misc]backup-simplify: Simplify (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3)) into (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3)) * [misc]backup-simplify: Simplify (- (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) into (- (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) * [misc]backup-simplify: Simplify (+ (/ (sqr c) (hypot (sqrt (atan a)) b)) (- (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3)))) into (- (/ (sqr c) (hypot (sqrt (atan a)) b)) (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (sqr c) (hypot (sqrt (atan a)) b)) (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3))) in c * [misc]taylor: Taking taylor expansion of (/ (sqr c) (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 (hypot (sqrt (atan a)) b)) into (/ 1 (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (/ (* (pow c 4) (sqr a)) (pow (hypot (sqrt (atan a)) b) 3)) in c * [misc]taylor: Taking taylor expansion of (* (pow c 4) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (pow c 4) in c * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan a)) b) 3) in c * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan a)) b)))) in c * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan a)) b))) in c * [misc]taylor: Taking taylor expansion of 3 in c * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan a)) b)) into (log (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan a)) b))) into (* 3 (log (hypot (sqrt (atan a)) b))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan a)) b)))) into (pow (hypot (sqrt (atan a)) b) 3) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 1 (sqr a)) into (sqr a) * [misc]backup-simplify: Simplify (/ (sqr a) (pow (hypot (sqrt (atan a)) b) 3)) into (/ (sqr a) (pow (hypot (sqrt (atan a)) b) 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow c 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log c))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log c))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow c 3) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr (hypot (sqrt (atan a)) b))) (+ (* (/ (* (pow c 3) (sqr a)) (sqr (hypot (sqrt (atan a)) b))) (/ 0 (sqr (hypot (sqrt (atan a)) b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (hypot (sqrt (atan a)) b)) (+ (* (/ (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) (hypot (sqrt (atan a)) b)) (/ 0 (hypot (sqrt (atan a)) b))) (* 0 (/ 0 (hypot (sqrt (atan a)) b))))) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (- (/ (- (sqr a)) (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (/ 0 (hypot (sqrt (atan a)) b))) (* 0 (/ 0 (hypot (sqrt (atan a)) b))))) into (- (/ (sqr a) (hypot (sqrt (atan a)) b))) * [misc]backup-simplify: Simplify (- (/ (sqr a) (hypot (sqrt (atan a)) b))) into (- (/ (sqr a) (hypot (sqrt (atan a)) b))) * [misc]backup-simplify: Simplify (+ (* (- (/ (sqr a) (hypot (sqrt (atan a)) b))) (sqr (* c (* 1 1)))) (+ (* -1 (* c (* 1 a))) (hypot (sqrt (atan a)) b))) into (- (hypot (sqrt (atan a)) b) (+ (/ (* (sqr c) (sqr a)) (hypot (sqrt (atan a)) b)) (* c a))) * [misc]approximate: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 a)) into (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) a) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 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]backup-simplify: Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) into (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (/ (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 c)) into (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 c)) into (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) * [misc]taylor: Taking taylor expansion of (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) in b * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (* (sqr c) (sqr a))) into (/ 1 (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr c) (sqr a)))) into (- (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (- (/ 1 (* (sqr c) (sqr a))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) into (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) * [misc]taylor: Taking taylor expansion of (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) in c * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (/ 1 (sqr a)) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (sqr a))) 0) (+ (* 0 0) (+ (* (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 1) (* 0 0)))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [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 (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 c)) (+ (* (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 c))))) into (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) in b * [misc]taylor: Taking taylor expansion of (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) into (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) * [misc]taylor: Taking taylor expansion of (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) 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 (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) into (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (- (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) into (- (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) * [misc]backup-simplify: Simplify (+ (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (- (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)))) into (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) in c * [misc]taylor: Taking taylor expansion of (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) into (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) * [misc]taylor: Taking taylor expansion of (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) in c * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) in c * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in c * [misc]taylor: Taking taylor expansion of 3 in c * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) 0) (* 0 c)) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (sqr a))) 0) (+ (* 0 0) (+ (* (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 c)) (+ (* (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) c) (/ 0 (/ 1 c))) (* (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 c))))) into (- (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow c 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log c))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log c)) 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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 3 (log c)) into (* 3 (log c)) * [misc]backup-simplify: Simplify (exp (* 3 (log c))) into (pow c 3) * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4) * [misc]taylor: Taking taylor expansion of (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a)) into (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a)) * [misc]backup-simplify: Simplify (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) into (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) * [misc]backup-simplify: Simplify (- (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) into (- (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) * [misc]backup-simplify: Simplify (+ (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) (- (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a)))) into (- (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (pow c 3) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4)) in c * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4) in c * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) in c * [misc]taylor: Taking taylor expansion of (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 4) * [misc]taylor: Taking taylor expansion of (/ (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (* c (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* 0 (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a)) into (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a)) * [misc]backup-simplify: Simplify (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) into (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a)))) into (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) * [misc]backup-simplify: Simplify (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) into (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))) (* 0 (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)))) into (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) * [misc]backup-simplify: Simplify (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) into (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3))) into (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) into (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (+ (* (- (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3)) (sqr (* (/ 1 c) (* 1 (/ 1 a))))) (+ (* (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr a))) (* (/ 1 c) (* 1 (pow (/ 1 a) 3)))) (* (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (* (/ 1 c) (* 1 (/ 1 a)))))) into (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (* c a)) (+ (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (* c (pow a 5))) (/ (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) (* (sqr c) (sqr a))))) * [misc]approximate: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 a)) into (* a (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 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]backup-simplify: Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) into (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (/ (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) (+ (/ 1 (* c a)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 c)) into (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (+ (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [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]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) (/ 1 c)) into (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (* (sqr c) (sqr a))) into (/ 1 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr c) (sqr a)))) into (- (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (- (/ 1 (* (sqr c) (sqr a))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) into (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (/ 1 (sqr a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (+ (* 0 0) (* 0 (- (/ 1 (sqr a))))))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [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 (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 c)) (+ (* (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 c))))) into (- (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) in b * [misc]taylor: Taking taylor expansion of (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) into (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) * [misc]taylor: Taking taylor expansion of (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) 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 (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) into (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (- (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) into (- (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) * [misc]backup-simplify: Simplify (+ (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (- (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)))) into (- (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) * [misc]taylor: Taking taylor expansion of (- (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) in c * [misc]taylor: Taking taylor expansion of (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) into (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) * [misc]taylor: Taking taylor expansion of (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) in c * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) in c * [misc]taylor: Taking taylor expansion of (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) in c * [misc]taylor: Taking taylor expansion of 3 in c * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))))) 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 (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (+ (* 0 0) (* 0 (- (/ 1 (sqr a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 c)) (+ (* (* c (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) (/ 0 (/ 1 c))) (* (- (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (* (sqr c) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 c))))) into (- (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow c 3) in b * [misc]taylor: Taking taylor expansion of (exp (* 3 (log c))) in b * [misc]taylor: Taking taylor expansion of (* 3 (log c)) 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 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (log c) into (log c) * [misc]backup-simplify: Simplify (* 3 (log c)) into (* 3 (log c)) * [misc]backup-simplify: Simplify (exp (* 3 (log c))) into (pow c 3) * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4) in b * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) in b * [misc]taylor: Taking taylor expansion of (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4) * [misc]taylor: Taking taylor expansion of (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a)) into (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a)) * [misc]backup-simplify: Simplify (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) into (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) * [misc]backup-simplify: Simplify (- (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) into (- (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) * [misc]backup-simplify: Simplify (+ (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) (- (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a)))) into (- (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (pow c 3) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4)) in c * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]taylor: Taking taylor expansion of (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4) in c * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) in c * [misc]taylor: Taking taylor expansion of (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) in c * [misc]taylor: Taking taylor expansion of 4 in c * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 4) * [misc]taylor: Taking taylor expansion of (/ (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (* c (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* 0 (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a)) into (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a)) * [misc]backup-simplify: Simplify (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) into (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a)))) into (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) * [misc]backup-simplify: Simplify (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) into (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))) (* 0 (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))))) 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 (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)))) into (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) * [misc]backup-simplify: Simplify (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) into (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3))) into (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) into (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (+ (* (- (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3)) (sqr (* (/ 1 (- c)) (* 1 (/ 1 (- a)))))) (+ (* (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr a))) (* (/ 1 (- c)) (* 1 (pow (/ 1 (- a)) 3)))) (* (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* (/ 1 (- c)) (* 1 (/ 1 (- a))))))) into (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* c a)) (+ (/ (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) (* (sqr c) (sqr a))) (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* c (pow a 5))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) into (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a)))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) in b * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) in c * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) into (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (- (* (sqr c) (sqr a))) into (- (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan a)) b)) (- (* (sqr c) (sqr a)))) into (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan a)) b)) 0) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* (/ 1 c) (/ 1 a)))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (* (sqr c) (sqr a))) into (/ 1 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr c) (sqr a)))) into (- (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (- (/ 1 (* (sqr c) (sqr a))))) into (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (/ 1 (sqr a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))) (* 0 (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) (sqr (* (/ 1 (- c)) (/ 1 (- a))))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c c) into (sqr c) * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* (sqr c) (sqr a)) into (* (sqr c) (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (* (sqr c) (sqr a))) into (/ 1 (* (sqr c) (sqr a))) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (- (/ 1 (* (sqr c) (sqr a)))) into (- (/ 1 (* (sqr c) (sqr a)))) * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (- (/ 1 (* (sqr c) (sqr a))))) into (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) * [misc]taylor: Taking taylor expansion of (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))) in c * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqr c) (sqr a))) in c * [misc]taylor: Taking taylor expansion of (* (sqr c) (sqr a)) in c * [misc]taylor: Taking taylor expansion of (sqr c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr a)))) into (sqr a) * [misc]backup-simplify: Simplify (/ 1 (sqr a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqr a)) (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))) (* 0 (/ 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr c) 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqr c) (sqr a))) (/ 0 (* (sqr c) (sqr a)))) (* 0 (/ 0 (* (sqr c) (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) 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 (+ (* (hypot (sqrt (atan a)) b) 0) (* 0 (hypot (sqrt (atan a)) b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) 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]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan a)) b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan a)) 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 (sqr (hypot (sqrt (atan a)) b)) into (sqr (hypot (sqrt (atan a)) b)) * [misc]approximate: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 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 (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 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]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ 1 a))) (/ 1 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 (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]approximate: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]taylor: Taking taylor expansion of (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 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 (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 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]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot (sqrt (atan (/ -1 a))) (/ -1 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 (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (+ (/ (* (sqr c) (sqr a)) (hypot (sqrt (atan a)) b)) (* c a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (- (hypot (sqrt (atan a)) b) (/ (* (* a c) (* a c)) (hypot (sqrt (atan a)) b))) (* a c)) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (* c a)) (+ (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (* c (pow a 5))) (/ (pow (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 3) (* (sqr c) (sqr a))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (- (- (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) a) (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (pow a 5))) (* (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) a) (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* a c)))) (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) c)) * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* c a)) (+ (/ (pow (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 3) (* (sqr c) (sqr a))) (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* c (pow a 5))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (- (- (/ (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* a c)) (/ (cube (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (* (* a c) (* a c)))) (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ (* (pow a 5) c) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (* (sqr c) (sqr a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (sqr (* a c))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (* (sqr c) (sqr a)))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (- (* (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (/ 1 (sqr (* a c)))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ 1 (* (sqr c) (sqr a)))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (- (* (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (/ (/ 1 (* c a)) (* c a))) (+ (* c a) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (hypot (sqrt (atan a)) b)) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (/ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (+ (* a c) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ (+ (* c a) (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (/ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (+ (* c a) (hypot (sqrt (atan a)) b))) (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* a c)) (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* a c)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* a c)) (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* a c)))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) (log (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (- (log (- (hypot (sqrt (atan a)) b) (* a c))) (log (+ (* a c) (hypot (sqrt (atan a)) b)))) (log (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (+ (- (log (- (hypot (sqrt (atan a)) b) (* a c))) (log (+ (* a c) (hypot (sqrt (atan a)) b)))) (log (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (log (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * [exit]simplify: Simplified to (log (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [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 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (pow (exp 1) (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (pow (exp 1) (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) (cube (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [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 (269 enodes) * [exit]simplify: Simplified to (cube (/ (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (cube (/ (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * [exit]simplify: Simplified to (cbrt (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (cube (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))))) * [exit]simplify: Simplified to (cube (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (/ (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c))))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) (cbrt (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (cbrt (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (/ (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (cbrt (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * [exit]simplify: Simplified to (sqrt (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1)) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) (sqrt (+ (hypot (sqrt (atan a)) b) (* a c)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 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 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (sqrt (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (/ (sqrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (sqrt (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (- (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (- (+ (* a c) (hypot (sqrt (atan a)) b)))) * [enter]simplify: Simplifying (- (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (+ (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (- (+ (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt 1)) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (+ (hypot (sqrt (atan a)) b) (* c a)))) 1) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan a)) b) (* a c)) 1) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan a)) b) (* a c)) 1) * [enter]simplify: Simplifying (/ (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) (+ (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) (+ (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt 1)) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) 1) * [exit]simplify: Simplified to (/ (cbrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) 1) * [enter]simplify: Simplifying (/ (* (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (/ (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (* (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (/ (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (+ (hypot (sqrt (atan a)) b) (* a c))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * [exit]simplify: Simplified to (/ (- (hypot (sqrt (atan a)) b) (* a c)) 1) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (hypot (sqrt (atan a)) b) (* a c))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (/ 1 (+ (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (+ (* a c) (hypot (sqrt (atan a)) b)) 1) (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (* (/ (+ (* a c) (hypot (sqrt (atan a)) b)) 1) (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (* (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cbrt (* (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))))) (cbrt (* (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))))) * [exit]simplify: Simplified to (/ (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cbrt (* (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))))) (cbrt (* (+ (hypot (sqrt (atan a)) b) (* a c)) (- (hypot (sqrt (atan a)) b) (* a c))))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (/ 1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* a c) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (sqr (* a c))) (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c)))) * [exit]simplify: Simplified to (/ (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (sqr (* a c))) (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c)))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* a c)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (+ (sqr (sqr (hypot (sqrt (atan a)) b))) (+ (sqr (sqr (* c a))) (* (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (hypot (sqrt (atan a)) b) (* a c)) (* (* a c) (* a c))) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (+ (hypot (sqrt (atan a)) b) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))))) * [exit]simplify: Simplified to (+ (* (* (+ (hypot (sqrt (atan a)) b) (* a c)) (* (* a c) (* a c))) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (+ (hypot (sqrt (atan a)) b) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (hypot (sqrt (atan a)) b) (* a c)) (cube (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (* (+ (hypot (sqrt (atan a)) b) (* a c)) (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (* (+ (hypot (sqrt (atan a)) b) (* a c)) (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * [exit]simplify: Simplified to (log (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * [exit]simplify: Simplified to (exp (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (sqr (hypot (sqrt (atan a)) b)) 3) (pow (sqr (* c a)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c))) (+ (cube (hypot (sqrt (atan a)) b)) (cube (* a c))))) * [exit]simplify: Simplified to (cbrt (* (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c))) (+ (cube (hypot (sqrt (atan a)) b)) (cube (* a c))))) * [enter]simplify: Simplifying (cbrt (+ (sqr (sqr (hypot (sqrt (atan a)) b))) (+ (sqr (sqr (* c a))) (* (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* c a) (* c a)))) (* (* (* c a) (* c a)) (* (* c a) (* c a))))) * [exit]simplify: Simplified to (cbrt (+ (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* c a) (* c a)))) (* (* (* c a) (* c a)) (* (* c a) (* c a))))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (sqr (hypot (sqrt (atan a)) b))) (sqr (sqr (* c a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) (* (* (* c a) (* c a)) (* (* c a) (* c a))))) * [exit]simplify: Simplified to (cbrt (- (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) (* (* (* c a) (* c a)) (* (* c a) (* c a))))) * [enter]simplify: Simplifying (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 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 (cbrt (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (cbrt (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * [exit]simplify: Simplified to (cbrt (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (log (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (exp (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (exp (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (cbrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (cube (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (cube (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b)))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (+ (hypot (sqrt (atan a)) b) (* a c)) * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (sqr (hypot (sqrt (atan a)) b)) 3) (pow (sqr (* c a)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c))) (+ (cube (* a c)) (cube (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (* (- (cube (hypot (sqrt (atan a)) b)) (cube (* a c))) (+ (cube (* a c)) (cube (hypot (sqrt (atan a)) b)))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (sqr (hypot (sqrt (atan a)) b))) (+ (sqr (sqr (* c a))) (* (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (+ (* (* (* c a) (* c a)) (* (* c a) (* c a))) (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* c a) (* c a))))) * [exit]simplify: Simplified to (+ (* (* (* c a) (* c a)) (* (* c a) (* c a))) (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (+ (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* c a) (* c a))))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (sqr (hypot (sqrt (atan a)) b))) (sqr (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (- (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) (* (* (* c a) (* c a)) (* (* c a) (* c a)))) * [exit]simplify: Simplified to (- (* (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) (* (* (* c a) (* c a)) (* (* c a) (* c a)))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 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 (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (* (* a c) (* a c)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b)))) (cbrt (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))))) * [exit]simplify: Simplified to (* (cbrt (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b)))) (cbrt (* (- (hypot (sqrt (atan a)) b) (* a c)) (+ (* a c) (hypot (sqrt (atan a)) b))))) * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (sqrt (* (+ (* a c) (hypot (sqrt (atan a)) b)) (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (log (hypot (sqrt (atan a)) b)) (log (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (log (hypot (sqrt (atan a)) b)) (log (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (exp (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (cbrt (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (cube (hypot (sqrt (atan a)) b)) (cube (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (cube (hypot (sqrt (atan a)) b)) (cube (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (fabs (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (fabs (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (hypot (sqrt (atan a)) b) (* c a)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [enter]simplify: Simplifying (cbrt (+ (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (+ (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (hypot (sqrt (atan a)) b) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * [enter]simplify: Simplifying (* a c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* c a) * [exit]simplify: Simplified to (* c a) * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c))