* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (+ 0 (- c)) into (- c) * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 c) 1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* -1 (* (/ 1 (/ 1 c)) (* 1 (/ 1 (/ 1 a)))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 c) -1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* -1 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (/ 1 (- a))))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan a)) b) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 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: [ 2 / 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: [ 3 / 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: [ 4 / 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: [ 5 / 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: [ 6 / 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: [ 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 (- (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: [ 11 / 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: [ 12 / 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: [ 13 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 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: [ 15 / 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: [ 16 / 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: [ 17 / 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: [ 18 / 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: [ 19 / 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: [ 20 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 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: [ 22 / 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: [ 23 / 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: [ 24 / 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: [ 25 / 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: [ 26 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 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: [ 29 / 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: [ 30 / 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: [ 31 / 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: [ 32 / 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: [ 33 / 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: [ 34 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 45 ] simplifiying candidate # * * * * [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) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (sqrt (atan a)) b)) (sqrt (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]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan a)) b)) 0) (* 0 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan a)) b)) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan a)) b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan a)) b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan a)) b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqrt (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]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (* 0 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqrt (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]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) (* 0 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (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]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) in c * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) in b * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan a)) b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan a)) b)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan a)) b)) into (sqrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [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 (* (sqrt (hypot (sqrt (atan a)) b)) (sqrt (hypot (sqrt (atan a)) b))) into (hypot (sqrt (atan a)) b) * [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 (+ (* (sqrt (hypot (sqrt (atan a)) b)) 0) (* 0 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan a)) b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan a)) b)) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan a)) b))))) 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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [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 (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [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 (+ (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (* 0 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) 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 (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))))) 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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [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 (- (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [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 (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) (sqrt (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) 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 (+ (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) (* 0 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) 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 (sqr 0) (+)) (* 2 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) 0) (+ (* 0 0) (* 0 (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* -1 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (/ 1 (- a))))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] 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 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (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 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* c a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (* c a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 7 / 63 ] 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: [ 8 / 63 ] 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 / 63 ] 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 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (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: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (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: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (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: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (expm1 (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (expm1 (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (log1p (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (log (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (exp (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (cbrt (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cube (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (cube (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (hypot (sqrt (atan a)) b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sqrt (atan a)) b)) * [exit]simplify: Simplified to (sqrt (hypot (sqrt (atan a)) b)) * * * * [misc]progress: [ 22 / 63 ] 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 (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * * * * [misc]progress: [ 23 / 63 ] 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 (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (expm1 (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (log1p (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (log (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (exp (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (cbrt (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (hypot (sqrt (atan a)) b) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (* (hypot (sqrt (atan a)) b) (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 34 / 63 ] 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 (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: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (sqr (sqrt (hypot (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: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (sqr (sqrt (hypot (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: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr (sqrt (hypot (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 (21 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: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr (sqrt (hypot (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: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 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: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (sqrt (hypot (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: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr (sqrt (hypot (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: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqrt (hypot (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: [ 47 / 63 ] 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: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr (sqrt (hypot (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 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (86 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 (sqr (sqrt (hypot (sqrt (atan a)) b)))) (+ (sqr (* c a)) (* (sqr (sqrt (hypot (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 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (216 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: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr (sqrt (hypot (sqrt (atan a)) b)))) (sqr (* c a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 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 (+ (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 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: [ 51 / 63 ] 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: [ 52 / 63 ] 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: [ 53 / 63 ] 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: [ 54 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 63 ] 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: [ 57 / 63 ] 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: [ 58 / 63 ] 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: [ 59 / 63 ] 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: [ 60 / 63 ] 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: [ 61 / 63 ] 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: [ 62 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) into (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a))))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) in b * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) in c * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) into (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (- (* c a)) into (- (* c a)) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) (- (* c a))) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- a) (* c (* 1 1))) (hypot (sqrt (atan a)) b)) into (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in b * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (/ 1 (* c a)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (- (/ 1 (* c a))) into (- (/ 1 (* c a))) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (- (/ 1 (* c a)))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))) (* 0 (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in c * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in b * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* c a) into (* c a) * [misc]backup-simplify: Simplify (/ 1 (* c a)) into (/ 1 (* c a)) * [misc]backup-simplify: Simplify (- (/ 1 (* c a))) into (- (/ 1 (* c a))) * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (- (/ 1 (* c a)))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (/ 1 (* c a)) in c * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* c a)) (/ 0 (* c a))) (* 0 (/ 0 (* c a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan a)) b) (* c a)) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (* c a) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan a)) b) 0) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (+ (* c 1) (* 0 0)) into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (+ 0 (- c)) into (- c) * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* (/ 1 c) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 c) 1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) 0) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* -1 (* (/ 1 (/ 1 c)) (* 1 (/ 1 (/ 1 a)))))) into (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]approximate: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in (a b c) around 0 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) (* (/ 1 (- c)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 c) -1) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 c))) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (- (/ 1 c)) into (- (/ 1 c)) * [misc]taylor: Taking taylor expansion of (- (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) 0) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in c * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* -1 (* (/ 1 (/ 1 (- c))) (* 1 (/ 1 (/ 1 (- a))))))) into (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ 1 (* c a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (/ (/ 1 c) a)) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* c a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (/ 1 (* a c))) * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (hypot (sqrt (atan a)) b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (hypot (sqrt (atan a)) b) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (expm1 (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (log1p (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (log (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (exp (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b)))) * [enter]simplify: Simplifying (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c)))) * [exit]simplify: Simplified to (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c)))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a)))) * [exit]simplify: Simplified to (cbrt (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a)))) * [enter]simplify: Simplifying (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (cbrt (fma (fma c a (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan a)) b) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (fma (fma c a (hypot (sqrt (atan a)) b)) (hypot (sqrt (atan a)) b) (* (* a c) (* a c)))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [exit]simplify: Simplified to (cbrt (- (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b)) (* (* a c) (* a c)))) * [enter]simplify: Simplifying (cbrt (+ (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (fma a c (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (cbrt (fma a c (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (expm1 (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (expm1 (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log1p (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log1p (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (log (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (exp (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cube (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (+ (sqrt (* a c)) (sqrt (hypot (sqrt (atan a)) b))) * [enter]simplify: Simplifying (cube (cbrt (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * [exit]simplify: Simplified to (- (sqrt (hypot (sqrt (atan a)) b)) (sqrt (* a c))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (hypot (sqrt (atan a)) b) 3) (pow (* c a) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [exit]simplify: Simplified to (- (cube (hypot (sqrt (atan a)) b)) (cube (* c a))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (hypot (sqrt (atan a)) b)) (+ (sqr (* c a)) (* (hypot (sqrt (atan a)) b) (* c a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (fma (* a c) (fma c a (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * [exit]simplify: Simplified to (fma (* a c) (fma c a (hypot (sqrt (atan a)) b)) (* (hypot (sqrt (atan a)) b) (hypot (sqrt (atan a)) b))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (hypot (sqrt (atan a)) b)) (sqr (* c a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (66 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 (cube (cbrt (+ (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 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: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) (cbrt (- (hypot (sqrt (atan a)) b) (* c a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * [exit]simplify: Simplified to (* (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) (cbrt (- (hypot (sqrt (atan a)) b) (* a c)))) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (- (hypot (sqrt (atan a)) b) (* c a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (sqrt (- (hypot (sqrt (atan a)) b) (* a c))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] 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: [ 44 / 68 ] 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: [ 45 / 68 ] 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: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] 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: [ 48 / 68 ] 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: [ 49 / 68 ] 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: [ 50 / 68 ] 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: [ 51 / 68 ] 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: [ 52 / 68 ] 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: [ 53 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 68 ] 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: [ 55 / 68 ] 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: [ 56 / 68 ] 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: [ 57 / 68 ] 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: [ 58 / 68 ] 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: [ 59 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 68 ] 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: [ 62 / 68 ] 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: [ 63 / 68 ] 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: [ 64 / 68 ] 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: [ 65 / 68 ] 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: [ 66 / 68 ] 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: [ 67 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [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))) * [enter]simplify: Simplifying (cbrt (- (hypot (sqrt (atan a)) b) (* c a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [exit]simplify: Simplified to (cbrt (- (hypot (sqrt (atan a)) b) (* a c))) * [enter]simplify: Simplifying (fma a c (hypot (sqrt (atan a)) b)) * * [misc]simplify: iters left: 4 (7 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)) * [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 (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)) * [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)))