* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (+ x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [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 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 x)) (* 0.5 (fabs (- y x)))) into (+ (* 0.5 (fabs (- y x))) x) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- y x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- y x))) x) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cbrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [enter]simplify: Simplifying (+ (sqr x) (- (sqr (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (- x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 13 / 13 ] 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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ x (* 0.5 (fabs (- y x)))) into (+ (* 0.5 (fabs (- y x))) x) * [misc]backup-simplify: Simplify (sqrt (+ (* 0.5 (fabs (- y x))) x)) into (sqrt (+ (* 0.5 (fabs (- y x))) x)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 0.5 (fabs (- y x))) x)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (fabs (- y x)))) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 0.5 (fabs (- y x)))))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (fabs (- y x)))) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 0.5 (fabs (- y x)))))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* (sqrt (fabs (- y x))) (sqrt 0.5))) into (* (fabs (- y x)) (sqr (sqrt 0.5))) * [misc]taylor: Taking taylor expansion of (* (fabs (- y x)) (sqr (sqrt 0.5))) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt 0.5)) in y * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 0.5) (sqrt 0.5)) into (sqr (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (fabs (- y x)) (sqr (sqrt 0.5))) into (* (fabs (- y x)) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (* (fabs (- y x)) (sqr (sqrt 0.5))) into (* (fabs (- y x)) (sqr (sqrt 0.5))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))))) (* (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) (* (sqrt (fabs (- y x))) (sqrt 0.5)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- y x)) 0) (* 0 (sqr (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))))) (+)) (* 2 (* (sqrt (fabs (- y x))) (sqrt 0.5)))) into (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))))) (+ (* (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))))) (* (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) (* (sqrt (fabs (- y x))) (sqrt 0.5))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 0.5) 0) (+ (* 0 0) (* 0 (sqrt 0.5)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- y x)) 0) (+ (* 0 0) (* 0 (sqr (sqrt 0.5))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))))))) (* 2 (* (sqrt (fabs (- y x))) (sqrt 0.5)))) into (* 1/16 (* (sqrt (/ 1 (pow (fabs (- y x)) 5))) (/ 1 (pow (sqrt 0.5) 5)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/16 (* (sqrt (/ 1 (pow (fabs (- y x)) 5))) (/ 1 (pow (sqrt 0.5) 5))))) (+ (* (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))))) (+ (* (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))))) (* (* 1/16 (* (sqrt (/ 1 (pow (fabs (- y x)) 5))) (/ 1 (pow (sqrt 0.5) 5)))) (* (sqrt (fabs (- y x))) (sqrt 0.5)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 x)) (* (fabs (- y x)) (sqr (sqrt 0.5)))) into (+ (* (fabs (- y x)) (sqr (sqrt 0.5))) x) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) into (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))))) (+ (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) into (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (- (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) +nan.0) (* (* +nan.0 (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) 0))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) in y * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))) in y * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) into (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 y) (/ 1 x))) (fabs (- (/ 1 y) (/ 1 x)))) into (sqr (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))) into (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) into (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))))) into (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) * [misc]backup-simplify: Simplify (- (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) * [misc]backup-simplify: Simplify (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) into (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ +nan.0 (- (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- (* +nan.0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))))))) (sqr (* 1 (/ 1 x)))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) (* 1 (/ 1 x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqr (fabs (- (/ 1 y) (/ 1 x)))) (sqr x))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) x)) (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) (sqr x))) (- (* +nan.0 (/ 1 (sqr x)))))))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ (/ -1 x) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) into (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (/ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) 0))) into (- +nan.0) * [misc]taylor: Taking taylor expansion of (- +nan.0) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) (+ (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) +nan.0) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) 0)))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) in y * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) into (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (- (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))))) (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0))) (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) 0))))) into (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) in y * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) in y * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 x) (/ 1 y))) (fabs (- (/ 1 x) (/ 1 y)))) into (sqr (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) into (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) into (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (- (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) into (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))))) into (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) into (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqr (fabs (- (/ 1 x) (/ 1 y))))) (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))))) (sqr (* 1 (/ 1 (- x))))) (+ (* (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) (* 1 (/ 1 (- x)))) (- +nan.0))) into (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) (sqr x))) (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fabs (- (/ 1 x) (/ 1 y)))) (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (sqr x)))))))))))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 x)) (* 0.5 (fabs (- y x)))) into (+ (* 0.5 (fabs (- y x))) x) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ x (* 0.5 (fabs (- y x)))) into (+ (* 0.5 (fabs (- y x))) x) * [misc]backup-simplify: Simplify (sqrt (+ (* 0.5 (fabs (- y x))) x)) into (sqrt (+ (* 0.5 (fabs (- y x))) x)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 0.5 (fabs (- y x))) x)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (fabs (- y x)))) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 0.5 (fabs (- y x)))))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- y x)))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (sqrt (* 0.5 (fabs (- y x)))) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 0.5 (fabs (- y x)))))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y * [misc]taylor: Taking taylor expansion of (sqrt (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (sqrt (fabs (- y x))) into (sqrt (fabs (- y x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (fabs (- y x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (fabs (- y x))) (sqrt 0.5)) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (fabs (- y x))) (sqrt 0.5)) into (* (sqrt (fabs (- y x))) (sqrt 0.5)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (/ 1 (fabs (- y x))) into (/ 1 (fabs (- y x))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (fabs (- y x)))) into (sqrt (/ 1 (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (fabs (- y x))) (/ 0 (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (- y x)))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 0.5)) into (/ 1 (sqrt 0.5)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) into (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) into (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (fabs (- y x))) 0) (* 0 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))))) (+)) (* 2 (* (sqrt (fabs (- y x))) (sqrt 0.5)))) into (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) * [misc]taylor: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y * [misc]taylor: Taking taylor expansion of -1/8 in y * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (fabs (- y x)) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (fabs (- y x))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (fabs (- y x)))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (log (fabs (- y x))) into (log (fabs (- y x))) * [misc]backup-simplify: Simplify (* 3 (log (fabs (- y x)))) into (* 3 (log (fabs (- y x)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (fabs (- y x))))) into (pow (fabs (- y x)) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (fabs (- y x)) 3)) into (/ 1 (pow (fabs (- y x)) 3)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (fabs (- y x)) 3))) into (sqrt (/ 1 (pow (fabs (- y x)) 3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fabs (- y x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (fabs (- y x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (fabs (- y x)) 3)) (/ 0 (pow (fabs (- y x)) 3))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (fabs (- y x)) 3))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (sqrt 0.5) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sqrt 0.5)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (sqrt 0.5))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sqrt 0.5)) in y * [misc]taylor: Taking taylor expansion of (sqrt 0.5) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (sqrt 0.5) into (sqrt 0.5) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 0.5))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 0.5)) into (log (sqrt 0.5)) * [misc]backup-simplify: Simplify (* 3 (log (sqrt 0.5))) into (* 3 (log (sqrt 0.5))) * [misc]backup-simplify: Simplify (exp (* 3 (log (sqrt 0.5)))) into (pow (sqrt 0.5) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 0.5) 3)) into (/ 1 (pow (sqrt 0.5) 3)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) into (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) * [misc]backup-simplify: Simplify (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) into (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) * [misc]backup-simplify: Simplify (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) into (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) * [misc]backup-simplify: Simplify (+ (* (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) (sqr (* 1 x))) (+ (* (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) (* 1 x)) (* (sqrt (fabs (- y x))) (sqrt 0.5)))) into (- (+ (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ x (sqrt 0.5))))) (* 1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ (sqr x) (pow (sqrt 0.5) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) into (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) * [misc]backup-simplify: Simplify (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) into (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (* +nan.0 (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 y) (/ 1 x))))))) (sqr (* 1 (/ 1 x)))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) (* 1 (/ 1 x))) +nan.0)) into (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) (sqr x))) (- (* +nan.0 (/ 1 (sqr x)))))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ (/ -1 x) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) into (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (/ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (sqr +nan.0) (+)) (* 2 0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) * [misc]backup-simplify: Simplify (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) * [misc]backup-simplify: Simplify (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) into (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) into (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (* +nan.0 (- (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (fabs (- (/ 1 x) (/ 1 y))))))) (sqr (* 1 (/ 1 (- x))))) (+ (* (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) (* 1 (/ 1 (- x)))) +nan.0)) into (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) (sqr x))) (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (sqr x)))))))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (fabs (- y x)) (sqr (sqrt 0.5))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- y x))) x) * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqr (fabs (- (/ 1 y) (/ 1 x)))) (sqr x))) (- (+ +nan.0 (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) x)) (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) (sqr x))) (- (* +nan.0 (/ 1 (sqr x)))))))))))))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) (sqr x))) (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqr (fabs (- (/ 1 x) (/ 1 y)))) (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (sqr x)))))))))))))) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (* 0.5 (fabs (- y x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- y x))) x) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* (sqrt (fabs (- y x))) (sqrt 0.5)) (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ x (sqrt 0.5))))) (* 1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ (sqr x) (pow (sqrt 0.5) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (sqr (- (+ (* (sqrt (/ 1 (fabs (- y x)))) (/ (* x 1/2) (sqrt 0.5))) (* (sqrt 0.5) (sqrt (fabs (- y x))))) (* (* (* (/ x 0.5) (/ x (sqrt 0.5))) 1/8) (sqrt (/ 1 (cube (fabs (- y x)))))))) * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (fabs (- (/ 1 y) (/ 1 x))) (sqr x))) (- (* +nan.0 (/ 1 (sqr x))))))))))))) * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) (sqr x))) (- (+ (* +nan.0 (/ (fabs (- (/ 1 x) (/ 1 y))) x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (sqr x))))))))))))) * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0))))) * * [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 (cbrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cbrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (+ x (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 17 / 44 ] 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 (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 18 / 44 ] 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 (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr x) (- (sqr (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (sqr (sqrt (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (exp (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cbrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cube (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [exit]simplify: Simplified to (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) * [enter]simplify: Simplifying (+ (sqr x) (- (sqr (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * [exit]simplify: Simplified to (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (* (fabs (- y x)) (/ x 2.0)) (sqr x))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (- x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (exp (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 39 / 44 ] 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 (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (+ (cube (/ (fabs (- y x)) 2.0)) (cube x))) * [exit]simplify: Simplified to (sqrt (+ (cube (/ (fabs (- y x)) 2.0)) (cube x))) * [enter]simplify: Simplifying (sqrt (+ (sqr x) (- (sqr (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (/ (fabs (- y x)) (/ 2.0 x)) (sqr x)))) * [exit]simplify: Simplified to (sqrt (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (- (/ (fabs (- y x)) (/ 2.0 x)) (sqr x)))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [enter]simplify: Simplifying (sqrt (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 44 ] 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) * [misc]approximate: Taking taylor expansion of (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) in y * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* x x) into (sqr x) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- y x))) (* 0.5 (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (+ (sqr x) (- (* 0.25 (sqr (fabs (- y x)))))) into (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (+ x (- (* 0.5 (fabs (- y x))))) into (- x (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (/ (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) (- x (* 0.5 (fabs (- y x))))) into (/ (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) (- x (* 0.5 (fabs (- y x))))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- y x))) (* 0.5 (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- y x)))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- y x))))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (/ (- (* 0.25 (sqr (fabs (- y x))))) (- (* 0.5 (fabs (- y x))))) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- y x))) (* 0.5 (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- y x)))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- y x))))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (/ (- (* 0.25 (sqr (fabs (- y x))))) (- (* 0.5 (fabs (- y x))))) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (* 0 (* 0.5 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 0.5 (fabs (- y x))))) (+ (* (* 0.5 (fabs (- y x))) (/ 1 (- (* 0.5 (fabs (- y x)))))))) into 1.0 * [misc]taylor: Taking taylor expansion of 1.0 in y * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (- (* 0.5 (fabs (- y x))))) (+ (* (* 0.5 (fabs (- y x))) (/ 0 (- (* 0.5 (fabs (- y x)))))) (* 1.0 (/ 1 (- (* 0.5 (fabs (- y x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 0.5 (fabs (- y x))))) (+ (* (* 0.5 (fabs (- y x))) (/ 0 (- (* 0.5 (fabs (- y x)))))) (* 1.0 (/ 0 (- (* 0.5 (fabs (- y x)))))) (* 0 (/ 1 (- (* 0.5 (fabs (- y x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 (* 1 x)) (* 0.5 (fabs (- y x)))) into (+ (* 0.5 (fabs (- y x))) (* 1.0 x)) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr x)) (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) into (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (/ 1 x) (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into (- (/ 1 x) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) (- (/ 1 x) (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into (/ (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) (- (/ 1 x) (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) 1) (+ (* 1 (/ 0 1)) (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 1)) (* 0 (/ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr x)) (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))))) into (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ (/ -1 x) (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) (- (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)))) into (* -1 (/ (- (/ 1 (sqr x)) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) -1)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) -1) (+ (* -1 (/ 0 -1)) (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 -1)) (* 0 (/ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- y x))) (* 0.5 (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- y x)))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]taylor: Taking taylor expansion of (- (* 0.25 (sqr (fabs (- y x))))) in y * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- y x)))) in y * [misc]taylor: Taking taylor expansion of 0.25 in y * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* (fabs (- y x)) (fabs (- y x))) into (sqr (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- y x))))) into (- (* 0.25 (sqr (fabs (- y x))))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (* 0 (* 0.5 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- y x)) 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- y x)) 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (sqr (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* (fabs (- y x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr (fabs (- y x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 x))) (- (* 0.25 (sqr (fabs (- y x)))))) into (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 x)) (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of 0.25 in y * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 y) (/ 1 x))) (fabs (- (/ 1 y) (/ 1 x)))) into (sqr (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- (/ 1 y) (/ 1 x))) 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) 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 (+ (- (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) (* 1 (sqr (* 1 (/ 1 (/ 1 x)))))) into (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in y * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- x))) (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]taylor: Taking taylor expansion of (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) in y * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of 0.25 in y * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 x) (/ 1 y))) (fabs (- (/ 1 x) (/ 1 y)))) into (sqr (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- (/ 1 x) (/ 1 y))) 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) 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 (+ (- (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) (* 1 (sqr (* 1 (/ 1 (/ 1 (- x))))))) into (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- y x))) (* 0.5 (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- y x)))) in x * [misc]taylor: Taking taylor expansion of 0.25 in x * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- y x))) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* (fabs (- y x)) (fabs (- y x))) into (sqr (fabs (- y x))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (* 0 (* 0.5 (fabs (- y x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- y x)) 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (fabs (- y x)) 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (sqr (fabs (- y x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- y x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- y x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- y x)))) into (* 0.25 (sqr (fabs (- y x)))) * [misc]approximate: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 0.25 in x * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 y) (/ 1 x))) (fabs (- (/ 1 y) (/ 1 x)))) into (sqr (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- (/ 1 y) (/ 1 x))) 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (fabs (- (/ 1 y) (/ 1 x))) 0) (+ (* 0 0) (* 0 (fabs (- (/ 1 y) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (sqr (fabs (- (/ 1 y) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) into (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]taylor: Taking taylor expansion of (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) in x * [misc]taylor: Taking taylor expansion of 0.25 in x * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (sqr (fabs (- (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* (fabs (- (/ 1 x) (/ 1 y))) (fabs (- (/ 1 x) (/ 1 y)))) into (sqr (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) 0) (* 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (- (/ 1 x) (/ 1 y))) 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (* 0 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (fabs (- (/ 1 x) (/ 1 y))) 0) (+ (* 0 0) (* 0 (fabs (- (/ 1 x) (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (sqr (fabs (- (/ 1 x) (/ 1 y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) into (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]taylor: Taking taylor expansion of (- x (/ (fabs (- y x)) 2.0)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- y x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in x * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- y x)) 2.0) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- y x))))) into (- (* 0.5 (fabs (- y x)))) * [misc]taylor: Taking taylor expansion of (- (* 0.5 (fabs (- y x)))) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- y x)) in y * [misc]backup-simplify: Simplify (fabs (- y x)) into (fabs (- y x)) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- y x))) into (* 0.5 (fabs (- y x))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- y x)))) into (- (* 0.5 (fabs (- y x)))) * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- y x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (* 0.5 0) (+ (* 0 0) (* 0 (fabs (- y x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- y x))) (/ 0 2.0)) (* 0 (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 x)) (- (* 0.5 (fabs (- y x))))) into (- x (* 0.5 (fabs (- y x)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 y) (/ 1 x))) 2.0) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) into (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) into (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 y) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (- x (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in y * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fabs (- (/ 1 (- y)) (/ 1 (- x)))) 2.0) in x * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- y)) (/ 1 (- x)))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]taylor: Taking taylor expansion of 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (/ (fabs (- (/ 1 x) (/ 1 y))) 2.0) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]taylor: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y * [misc]backup-simplify: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) * [misc]backup-simplify: Simplify (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) into (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) into (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 (fabs (- (/ 1 x) (/ 1 y))))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 0 2.0)) (* 0 (/ 0 2.0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (- x (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- y x))) (* 1.0 x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- y x))) (* 1.0 x)) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) x) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) x) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (sqr (fabs (- y x))) 0.25)) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (fabs (- (/ 1 y) (/ 1 x))) (* (fabs (- (/ 1 y) (/ 1 x))) 0.25))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (fabs (- (/ 1 x) (/ 1 y))) (* (fabs (- (/ 1 x) (/ 1 y))) 0.25))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- y x))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (sqr (fabs (- y x))) 0.25)) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 y) (/ 1 x)))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (fabs (- (/ 1 y) (/ 1 x))) (* (fabs (- (/ 1 y) (/ 1 x))) 0.25))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (* 0.25 (sqr (fabs (- (/ 1 x) (/ 1 y)))))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (fabs (- (/ 1 x) (/ 1 y))) (* (fabs (- (/ 1 x) (/ 1 y))) 0.25))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (* 0.5 (fabs (- y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (* (fabs (- y x)) 0.5))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (* (fabs (- (/ 1 y) (/ 1 x))) 0.5))) * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (* (fabs (- (/ 1 x) (/ 1 y))) 0.5))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) (log (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (exp (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * [exit]simplify: Simplified to (exp (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) (cube (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (cube (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * [exit]simplify: Simplified to (cube (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * [exit]simplify: Simplified to (cbrt (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (/ 1 (+ x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (/ (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (/ 1 (+ x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) (cbrt (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (cbrt (- x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (/ (cbrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (cbrt (- x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ x (/ (fabs (- y x)) 2.0)) 1)) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (/ (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (- (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (- (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [enter]simplify: Simplifying (- (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (- (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (- (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (sqr x) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ (sqr x) (- x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (/ (sqr (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ (sqr (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * [enter]simplify: Simplifying (/ (- x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * [exit]simplify: Simplified to (/ (+ x (/ (fabs (- y x)) 2.0)) 1) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ 1 (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (/ (fabs (- y x)) 2.0)) (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (- (/ (sqr x) 1) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (- (/ (sqr x) 1) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (/ (fabs (- y x)) 2.0)) (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x (/ (fabs (- y x)) 2.0)) (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ (/ (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) (- (cube x) (cube (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (/ (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) (- (cube x) (cube (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (/ (fabs (- y x)) 2.0)) (+ (sqr (sqr x)) (+ (sqr (sqr (/ (fabs (- y x)) 2.0))) (* (sqr x) (sqr (/ (fabs (- y x)) 2.0)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (+ (* (* (- x (/ (fabs (- y x)) 2.0)) (sqr (/ (fabs (- y x)) 2.0))) (sqr (/ (fabs (- y x)) 2.0))) (* (* (- x (/ (fabs (- y x)) 2.0)) (sqr x)) (+ (sqr (/ (fabs (- y x)) 2.0)) (sqr x)))) * [exit]simplify: Simplified to (+ (* (* (- x (/ (fabs (- y x)) 2.0)) (sqr (/ (fabs (- y x)) 2.0))) (sqr (/ (fabs (- y x)) 2.0))) (* (* (- x (/ (fabs (- y x)) 2.0)) (sqr x)) (+ (sqr (/ (fabs (- y x)) 2.0)) (sqr x)))) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x (/ (fabs (- y x)) 2.0)) (+ (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (- x (/ (fabs (- y x)) 2.0)) (+ (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (* (- x (/ (fabs (- y x)) 2.0)) (+ (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr x)) (exp (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (exp (* (+ (/ (fabs (- y x)) 2.0) x) (- x (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (exp (* (+ (/ (fabs (- y x)) 2.0) x) (- x (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (log (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (exp (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (exp (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (cbrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (cube (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (cube (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (sqrt (- (sqr x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr x) 3) (pow (sqr (/ (fabs (- y x)) 2.0)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) (- (cube x) (cube (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (* (+ (cube (/ (fabs (- y x)) 2.0)) (cube x)) (- (cube x) (cube (/ (fabs (- y x)) 2.0)))) * [enter]simplify: Simplifying (+ (sqr (sqr x)) (+ (sqr (sqr (/ (fabs (- y x)) 2.0))) (* (sqr x) (sqr (/ (fabs (- y x)) 2.0))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (+ (sqr (sqr x)) (* (/ (fabs (- y x)) (/ 2.0 x)) (/ (fabs (- y x)) (/ 2.0 x)))) (sqr (sqr (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (+ (+ (sqr (sqr x)) (* (/ (fabs (- y x)) (/ 2.0 x)) (/ (fabs (- y x)) (/ 2.0 x)))) (sqr (sqr (/ (fabs (- y x)) 2.0)))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (fabs (- y x)) (* 2.0 2.0)) (- (fabs (- y x)))) * [exit]simplify: Simplified to (* (/ (fabs (- y x)) (* 2.0 2.0)) (- (fabs (- y x)))) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr x)) (sqr (sqr (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (- (sqr (sqr x)) (sqr (sqr (/ (fabs (- y x)) 2.0)))) * [exit]simplify: Simplified to (- (sqr (sqr x)) (sqr (sqr (/ (fabs (- y x)) 2.0)))) * [enter]simplify: Simplifying (+ (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (sqr x)) * [exit]simplify: Simplified to (+ (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (sqr x)) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [enter]simplify: Simplifying (- x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (sqr (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (sqr (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (sqr (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (exp (sqr (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (sqr (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cbrt (sqr (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (cube (sqr (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cube (sqr (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (fabs (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (fabs (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 59 / 73 ] 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 (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqr (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (sqr (/ (fabs (- y x)) 2.0)) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (fabs (- y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (fabs (- y x)) (fabs (- y x))) * [exit]simplify: Simplified to (* (fabs (- y x)) (fabs (- y x))) * [enter]simplify: Simplifying (sqr (/ 1 2.0)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqr 2.0)) * [exit]simplify: Simplified to (/ 1 (sqr 2.0)) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (fabs (- y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (fabs (- y x)) (fabs (- y x))) * [exit]simplify: Simplified to (* (fabs (- y x)) (fabs (- y x))) * [enter]simplify: Simplifying (sqr 2.0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 2.0) * [exit]simplify: Simplified to (sqr 2.0) * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (log (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (log (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (exp (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cbrt (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cube (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (cube (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (- x (/ (fabs (- y x)) 2.0))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (cube x) (cube (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (- (cube x) (cube (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (+ (sqr x) (+ (sqr (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (+ (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (+ (* (/ x 2.0) (fabs (- y x))) (sqr x))) * [exit]simplify: Simplified to (+ (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (+ (* (/ x 2.0) (fabs (- y x))) (sqr x))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (- (fabs (- y x))) 2.0) * [exit]simplify: Simplified to (/ (- (fabs (- y x))) 2.0) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (+ x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ x (/ (fabs (- y x)) 2.0)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cube (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cube (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (cube (/ (fabs (- y x)) 2.0)) * [enter]simplify: Simplifying (cube x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube x) * [exit]simplify: Simplified to (cube x) * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (* (+ x (/ (fabs (- y x)) 2.0)) (- x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (- x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [exit]simplify: Simplified to (- x (/ (fabs (- y x)) 2.0)) * [enter]simplify: Simplifying (sqrt (+ x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (fabs (- y x)) 2.0))) * [enter]simplify: Simplifying (+ x (/ (fabs (- y x)) 2.0)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ x (/ (fabs (- y x)) 2.0)) * [enter]simplify: Simplifying (/ 1 (- x (/ (fabs (- y x)) 2.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- x (/ (fabs (- y x)) 2.0))) * [exit]simplify: Simplified to (/ 1 (- x (/ (fabs (- y x)) 2.0)))