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