* [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 (/ (- y x) 2.0)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (+ x (/ (- 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 (/ (- y x) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ x (/ (- 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 (/ (- y x) 2.0) in y * [misc]taylor: Taking taylor expansion of (- y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ 0 (- x)) into (- x) * [misc]backup-simplify: Simplify (/ (- x) 2.0) into (* -0.5 x) * [misc]taylor: Taking taylor expansion of (+ x (/ (- 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 (/ (- y x) 2.0) in x * [misc]taylor: Taking taylor expansion of (- y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ y 2.0) into (* 0.5 y) * [misc]taylor: Taking taylor expansion of (+ x (/ (- 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 (/ (- y x) 2.0) in x * [misc]taylor: Taking taylor expansion of (- y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ y 0) into y * [misc]backup-simplify: Simplify (/ y 2.0) into (* 0.5 y) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 y)) into (* 0.5 y) * [misc]taylor: Taking taylor expansion of (* 0.5 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 y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0.5 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 2.0) (+ (* (* 0.5 y) (/ 0 2.0)))) into (- 0.5) * [misc]backup-simplify: Simplify (+ 1 (- 0.5)) into 0.5 * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* (* 0.5 y) (/ 0 2.0)) (* (- 0.5) (/ 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 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 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 y) (/ 0 2.0)) (* (- 0.5) (/ 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 (* y 1)) (* 0.5 (* 1 x))) into (+ (* 0.5 y) (* 0.5 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (/ (- (/ 1 y) (/ 1 x)) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (- (/ 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 (/ (- (/ 1 y) (/ 1 x)) 2.0) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2.0) into 0.5 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (- (/ 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 (/ (- (/ 1 y) (/ 1 x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2.0) into -0.5 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (- (/ 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 (/ (- (/ 1 y) (/ 1 x)) 2.0) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2.0) into -0.5 * [misc]backup-simplify: Simplify (+ 1 -0.5) into 0.5 * [misc]taylor: Taking taylor expansion of 0.5 in y * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 y) 0) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ (/ 1 y) 2.0) (+ (* -0.5 (/ 0 2.0)))) into (* 0.5 (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (* 0.5 (/ 1 y))) into (* 0.5 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (* 0.5 (/ 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 (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* -0.5 (/ 0 2.0)) (* (* 0.5 (/ 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* -0.5 (/ 0 2.0)) (* (* 0.5 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 2.0)) (* (* 0.5 (/ 1 y)) (/ 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 (+ (* 0.5 (* 1 (/ 1 (/ 1 x)))) (* 0.5 (* (/ 1 (/ 1 y)) 1))) into (+ (* 0.5 y) (* 0.5 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (/ (- (/ 1 (- y)) (/ 1 (- x))) 2.0)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (- (/ 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 (/ (- (/ 1 (- y)) (/ 1 (- x))) 2.0) in y * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in 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) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [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 2.0 in y * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2.0) into -0.5 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (- (/ 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 (/ (- (/ 1 (- y)) (/ 1 (- x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2.0) into 0.5 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ (- (/ 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 (/ (- (/ 1 (- y)) (/ 1 (- x))) 2.0) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [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 2.0 in x * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2.0) into 0.5 * [misc]backup-simplify: Simplify (+ -1 0.5) into (- 0.5) * [misc]taylor: Taking taylor expansion of (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 y) 0) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 y)) 2.0) (+ (* 0.5 (/ 0 2.0)))) into (- (* 0.5 (/ 1 y))) * [misc]backup-simplify: Simplify (+ 0 (- (* 0.5 (/ 1 y)))) into (- (* 0.5 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* 0.5 (/ 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 (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 0.5 1) into 0.5 * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0.5) into (- 0.5) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* 0.5 (/ 0 2.0)) (* (- (* 0.5 (/ 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2.0) (+ (* 0.5 (/ 0 2.0)) (* (- (* 0.5 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (/ 0 2.0)) (* (- (* 0.5 (/ 1 y))) (/ 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 (+ (* (- 0.5) (* 1 (/ 1 (/ 1 (- x))))) (* (- 0.5) (* (/ 1 (/ 1 (- y))) 1))) into (+ (* 0.5 y) (* 0.5 x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 y) (* 0.5 x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (+ x y) 0.5) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 y) (* 0.5 x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (+ x y) 0.5) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0.5 y) (* 0.5 x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (+ x y) 0.5) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (log (+ x (/ (- y x) 2.0))) * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (exp (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (exp (+ x (/ (- y x) 2.0))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (cbrt (+ x (/ (- y x) 2.0))) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ x (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (cube (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (cube (+ x (/ (- y x) 2.0))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (sqrt (+ x (/ (- y x) 2.0))) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (/ (- y x) 2.0) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (cube (/ (- y x) 2.0)) (cube x)) * [exit]simplify: Simplified to (+ (cube (/ (- y x) 2.0)) (cube x)) * [enter]simplify: Simplifying (+ (sqr x) (- (sqr (/ (- y x) 2.0)) (* x (/ (- y x) 2.0)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (sqr (/ (- y x) 2.0)) (- (* (/ x 2.0) (- y x)) (sqr x))) * [exit]simplify: Simplified to (- (sqr (/ (- y x) 2.0)) (- (* (/ x 2.0) (- y x)) (sqr x))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr x) (sqr (/ (- y x) 2.0))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (- x (/ (- y x) 2.0)) (+ x (/ (- y x) 2.0))) * [exit]simplify: Simplified to (* (- x (/ (- y x) 2.0)) (+ x (/ (- y x) 2.0))) * [enter]simplify: Simplifying (- x (/ (- y x) 2.0)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- x (/ (- y x) 2.0)) * [exit]simplify: Simplified to (- x (/ (- y x) 2.0)) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (/ y 2.0)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (/ y 2.0) x) * [exit]simplify: Simplified to (+ (/ y 2.0) x) * * * * [misc]progress: [ 14 / 14 ] 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: generating rewritten candidates * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (+ x y) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ x y) * [exit]simplify: Simplified to (+ x y)