* [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 / 1 ] 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 15 ] 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 / 15 ] 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 / 15 ] 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 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 5 / 15 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 6 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 15 ] 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: [ 9 / 15 ] 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: [ 10 / 15 ] 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: [ 11 / 15 ] 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: [ 12 / 15 ] 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: [ 13 / 15 ] 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: [ 14 / 15 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 15 ] 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 / 3 ] 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 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan a) 1/4) (pow (atan a) 1/4)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (* 0 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan a) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan a) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (* 0 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ 1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ 1 a)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (* 0 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (/ -1 a)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (/ -1 a)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan a)) in a * [misc]taylor: Taking taylor expansion of (atan a) in a * [misc]backup-simplify: Simplify (atan a) into (atan a) * [misc]backup-simplify: Simplify (sqrt (atan a)) into (sqrt (atan a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan a))) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan a))))) into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan a)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan a) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan a) 1/4) into (pow (atan a) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan (/ 1 a)) into (atan (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ 1 a))) into (sqrt (atan (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ 1 a)))) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ 1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ 1 a)) 1/4) into (pow (atan (/ 1 a)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan (/ 1 (- a))) into (atan (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (atan (/ -1 a))) into (sqrt (atan (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan (/ -1 a)))) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan (/ -1 a)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (/ -1 a)) 1/4) into (pow (atan (/ -1 a)) 1/4) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan a)))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* c a)) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ 1 a))))) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (sqrt (sqrt (atan (/ -1 a))))) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 4 / 48 ] 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 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ 1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ 1 a))) b) (* a c)) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqrt (atan (/ -1 a))) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan (/ -1 a))) b) (* a c)) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan a) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan a) 1/4) (pow (atan a) 1/4)) b) (* c a)) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ 1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ 1 a)) 1/4) (pow (atan (/ 1 a)) 1/4)) b) (* a c)) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (hypot (sqr (pow (atan (/ -1 a)) 1/4)) b) (* c a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (hypot (* (pow (atan (/ -1 a)) 1/4) (pow (atan (/ -1 a)) 1/4)) b) (* a c)) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (atan a))) * [exit]simplify: Simplified to (log (sqrt (atan a))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * [exit]simplify: Simplified to (* (atan a) (sqrt (atan a))) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * [exit]simplify: Simplified to (expm1 (sqrt (atan a))) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * [exit]simplify: Simplified to (log1p (sqrt (atan a))) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (atan a))) * [exit]simplify: Simplified to (log (sqrt (atan a))) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * [exit]simplify: Simplified to (exp (sqrt (atan a))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * [exit]simplify: Simplified to (cbrt (sqrt (atan a))) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (atan a)) (atan a)) * [exit]simplify: Simplified to (* (sqrt (atan a)) (atan a)) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (atan a))))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (atan a)) * [exit]simplify: Simplified to (sqrt (atan a)) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan a))) (sqrt (atan a))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan a))) (sqrt (atan a))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (atan a)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (atan a)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (atan a)))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 a +inf.0)) , with alts (#) * [enter]simplify: Simplifying (- (hypot (sqrt (atan a)) b) (* c a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (hypot (sqrt (atan a)) b) (* a c)) * [enter]simplify: Simplifying (sqrt (sqrt (atan a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan a))) * [exit]simplify: Simplified to (sqrt (sqrt (atan a)))