* [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 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: [ 2 / 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: [ 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 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 45 ] 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: [ 2 / 45 ] 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: [ 3 / 45 ] 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: [ 4 / 45 ] 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: [ 5 / 45 ] 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: [ 6 / 45 ] 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: [ 7 / 45 ] 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 / 45 ] 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 / 45 ] 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 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 11 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 12 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 45 ] 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: [ 15 / 45 ] 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: [ 16 / 45 ] 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: [ 17 / 45 ] 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: [ 18 / 45 ] 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: [ 19 / 45 ] 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: [ 20 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (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 (expm1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (expm1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 23 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (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 (log1p (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log1p (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 24 / 45 ] 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: [ 25 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 45 ] 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: [ 27 / 45 ] 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: [ 28 / 45 ] 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: [ 29 / 45 ] 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: [ 30 / 45 ] 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: [ 31 / 45 ] 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: [ 32 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 45 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (fma (fma c a (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan a)) b) (* (* a c) (* a c))) * [exit]simplify: Simplified to (fma (fma c a (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan a)) b) (* (* a c) (* a c))) * * * * [misc]progress: [ 34 / 45 ] 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 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))) * [exit]simplify: Simplified to (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* 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) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (fma a c (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (fma a c (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 35 / 45 ] 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: [ 36 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (expm1 (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 37 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (log1p (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 38 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr (sqrt (atan a))) (sqr b)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (fma b b (atan a)) * [exit]simplify: Simplified to (fma b b (atan a)) * * * * [misc]progress: [ 39 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 45 ] 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: [ 41 / 45 ] 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: [ 42 / 45 ] 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: [ 43 / 45 ] 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: [ 44 / 45 ] 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: [ 45 / 45 ] 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 1) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan a) 1/4) (pow (atan a) 1/4)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (* 0 (pow (atan a) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))))) 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 (sqr (sqrt (sqrt (atan (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (* 0 (pow (atan (/ 1 a)) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))))) 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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (* 0 (pow (atan (/ -1 a)) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 2 / 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: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] 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: [ 2 / 65 ] 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: [ 3 / 65 ] 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: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ -1 a))))) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan a) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan a) 1/4) (pow (atan a) 1/4)) b) (* c a)) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ 1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) b) (* a c)) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ -1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) b) (* a c)) * * * * [misc]progress: [ 10 / 65 ] 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: [ 11 / 65 ] 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: [ 12 / 65 ] 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: [ 13 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (atan a))) * [exit]simplify: Simplified to (log (sqrt (atan a))) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (atan a)) (atan a)) * [exit]simplify: Simplified to (* (sqrt (atan a)) (atan a)) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 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 (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 24 / 65 ] 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 (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] 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: [ 32 / 65 ] 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: [ 33 / 65 ] 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: [ 34 / 65 ] 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: [ 35 / 65 ] 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: [ 36 / 65 ] 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: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan a))) (sqrt (atan a))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan a))) (sqrt (atan a))) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [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: [ 48 / 65 ] 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 (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: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (expm1 (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log1p (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (log1p (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (hypot (sqr (sqrt (sqrt (atan a)))) b)) (exp (* c a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 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: [ 55 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (hypot (sqr (sqrt (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 (21 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* c a))) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* c a))) * * * * [misc]progress: [ 61 / 65 ] 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: [ 62 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (hypot (sqr (sqrt (sqrt (atan a)))) b) 3) (pow (* c a) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (72 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 (sqr (sqrt (sqrt (atan a)))) b)) (+ (sqr (* c a)) (* (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (fma (hypot (sqrt (atan a)) b) (* a c) (fma (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (fma (hypot (sqrt (atan a)) b) (* a c) (fma (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b) (* (* a c) (* a c)))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (hypot (sqr (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (sqr (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))) * [exit]simplify: Simplified to (- (sqr (hypot (sqrt (atan a)) b)) (* (* a c) (* a c))) * [enter]simplify: Simplifying (+ (hypot (sqr (sqrt (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 (16 enodes) * [exit]simplify: Simplified to (fma c a (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (fma c a (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (hypot (sqr (sqrt (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 (16 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 (- (sqrt (hypot (sqr (sqrt (sqrt (atan a)))) b)) (sqrt (* c a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 2 * [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]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]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: tayloring alt 2 of 2 * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan a) 1/4) (pow (atan a) 1/4)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (* 0 (pow (atan a) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))))) 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 (sqr (sqrt (sqrt (atan (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (* 0 (pow (atan (/ 1 a)) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))))) 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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (* 0 (pow (atan (/ -1 a)) 1/4))) into 0 * [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 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))))) 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 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]approximate: Taking taylor expansion of (sqrt (sqrt (atan a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [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 (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [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 (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [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 (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * [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 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * [misc]approximate: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan a)))) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan a)))) b) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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 (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqr (sqrt (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: simplifying alt 1 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 2 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 3 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 4 of 21 * [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]none: prog is (λ (a b c d) (hypot (sqrt (atan a)) b)) * * * [misc]progress: simplifying alt 5 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 6 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 7 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 8 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 9 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 10 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 11 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 12 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 13 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 14 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) b) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 15 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ -1 a))))) b) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 16 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan a) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan a) 1/4) (pow (atan a) 1/4)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (* (pow (atan a) 1/4) (pow (atan a) 1/4)) b) (* c a))) * * * [misc]progress: simplifying alt 17 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ 1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) b) (* a c))) * * * [misc]progress: simplifying alt 18 of 21 * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ -1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) b) (* a c))) * * * [misc]progress: simplifying alt 19 of 21 * [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]none: prog is (λ (a b c d) (hypot (sqrt (atan a)) b)) * * * [misc]progress: simplifying alt 20 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 21 of 21 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * [misc]progress: [Phase 3 of 3] Extracting. * [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)) * [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)))