* [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 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 2 / 2 ] 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 / 2 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 23 ] 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 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 4 / 23 ] 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 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 23 ] 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: [ 10 / 23 ] 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: [ 11 / 23 ] 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: [ 12 / 23 ] 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: [ 13 / 23 ] 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: [ 14 / 23 ] 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: [ 15 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 23 ] 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: [ 19 / 23 ] 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: [ 20 / 23 ] 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: [ 21 / 23 ] 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: [ 22 / 23 ] 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: [ 23 / 23 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 2 / 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: [ 3 / 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: [ 4 / 4 ] generating series at (2 1 1 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 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] 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: [ 2 / 50 ] 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: [ 3 / 50 ] 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: [ 4 / 50 ] 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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * * * [misc]progress: [ 7 / 50 ] 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: [ 8 / 50 ] 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: [ 9 / 50 ] 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: [ 10 / 50 ] 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 / 50 ] 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: [ 12 / 50 ] 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: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 50 ] 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: [ 16 / 50 ] 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: [ 17 / 50 ] 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: [ 18 / 50 ] 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: [ 19 / 50 ] 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: [ 20 / 50 ] 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: [ 21 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] 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: [ 26 / 50 ] 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: [ 27 / 50 ] 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: [ 28 / 50 ] 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: [ 29 / 50 ] 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: [ 30 / 50 ] 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: [ 31 / 50 ] 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: [ 32 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 50 ] 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: [ 37 / 50 ] 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: [ 38 / 50 ] 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: [ 39 / 50 ] 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: [ 40 / 50 ] 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: [ 41 / 50 ] 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: [ 42 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] 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: [ 46 / 50 ] 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: [ 47 / 50 ] 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: [ 48 / 50 ] 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: [ 49 / 50 ] 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: [ 50 / 50 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 3 * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]approximate: Taking taylor expansion of (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]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]approximate: Taking taylor expansion of (hypot (sqrt (atan a)) b) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * [misc]progress: tayloring alt 2 of 3 * [misc]approximate: Taking taylor expansion of (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan a)) b) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan a)) b) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan a)) b) into (hypot (sqrt (atan a)) b) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) in a * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) in b * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * * * [misc]progress: tayloring alt 3 of 3 * [misc]approximate: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan a)) b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan a)) b))) in b * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan a)) b))) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan a)) b))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan a)) b))) into (hypot (sqrt (atan a)) b) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan a)) b))) in a * [misc]backup-simplify: Simplify (cube (cbrt (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 (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in b * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) into (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cube (cbrt (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 (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) into (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (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 (sqrt (atan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]approximate: Taking taylor expansion of (cbrt (hypot (sqrt (atan a)) b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan a)) b)) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan a)) b)) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan a)) b)) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (hypot (sqrt (atan a)) b)) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan a)) b)) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (hypot (sqrt (atan a)) b)) * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (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 (cbrt (hypot (sqrt (atan a)) b)) into (cbrt (hypot (sqrt (atan a)) b)) * [misc]approximate: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (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 (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) into (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b))) * [misc]approximate: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) into (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) into (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) in a * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ 1 (- a)))) (/ 1 (- b)))) into (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]taylor: Taking taylor expansion of (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) in b * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [misc]backup-simplify: Simplify (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (cbrt (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 (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) into (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b))) * [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: simplifying alt 1 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 2 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) b))) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 3 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ -1 a))) b))) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 4 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 5 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 6 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 7 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 8 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 9 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 10 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 11 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 12 of 30 * [enter]simplify: Simplifying (- (sqr (sqrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 13 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 14 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 15 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 16 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 17 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 18 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 19 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* a c))) * * * [misc]progress: simplifying alt 20 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 21 of 30 * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 22 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 23 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ 1 a))) b))) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 24 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ -1 a))) b))) (* c a)) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) b) (* a c))) * * * [misc]progress: simplifying alt 25 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 26 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 27 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * * * [misc]progress: simplifying alt 28 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan a)) b))) (* c a)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan a)) b) (* c a))) * * * [misc]progress: simplifying alt 29 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ 1 a))) (/ 1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ 1 a))) (/ 1 b)) (* c a))) * * * [misc]progress: simplifying alt 30 of 30 * [enter]simplify: Simplifying (- (cube (cbrt (hypot (sqrt (atan (/ -1 a))) (/ -1 b)))) (* c a)) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a)) * [misc]none: prog is (λ (a b c d) (- (hypot (sqrt (atan (/ -1 a))) (/ -1 b)) (* c a))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (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 (- (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 (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))