* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * [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 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- +nan.0) -1) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (- +nan.0) 1/2) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* (- +nan.0) (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 x))) (/ 1 (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqrt (/ 1 (- x)))) (/ 1 (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +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) 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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +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) 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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/8 1)) (* -1/2 (/ 1/2 1)))) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow x 2)) (+ (* -1/2 x) 1)) into (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x)) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 1 +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [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 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (- (+ (* 3/8 (pow x 2)) 1) (* 1/2 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (- (/ 1 (sqrt x)) 1) (* (- (* x 3/8) 1/2) x)) * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (- (+ 1 (* x 1/2)) (* (* 1/8 x) x)))) * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (sqrt x))) (exp (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) 3) * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [enter]simplify: Simplifying (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (+ x 1)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ x 1)) (sqrt x)) * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 (sqrt x)) 3) (pow (/ 1 (sqrt (+ x 1))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) (sqrt x)) (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (/ (/ 1 x) (sqrt x)) (/ (/ 1 (+ x 1)) (sqrt (+ x 1)))) * [enter]simplify: Simplifying (+ (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (+ (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (* (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 (+ x 1)) (/ 1 x)) (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (+ (+ (/ 1 (+ x 1)) (/ 1 x)) (/ (/ 1 (sqrt x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ x 1))) * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 (sqrt x)) (sqrt x)) (/ 1 (+ x 1))) * [exit]simplify: Simplified to (- (/ (/ 1 (sqrt x)) (sqrt x)) (/ 1 (+ x 1))) * [enter]simplify: Simplifying (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt x))) * [exit]simplify: Simplified to (+ (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt x))) * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (- (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt (+ x 1))))) * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/2) * [exit]simplify: Simplified to (- 1/2) * * * * [misc]progress: [ 31 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (sqrt x))) * [exit]simplify: Simplified to (- (log (sqrt x))) * * * * [misc]progress: [ 35 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (sqrt x))) * [exit]simplify: Simplified to (- (log (sqrt x))) * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sqrt x))) * [exit]simplify: Simplified to (exp (/ 1 (sqrt x))) * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt x))) (cbrt (/ 1 (sqrt x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt x))) (cbrt (/ 1 (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt x))) (cbrt (/ 1 (sqrt x)))) * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt x))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt x))) * * * * [misc]progress: [ 38 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/ 1 (sqrt x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt x) x)) * [exit]simplify: Simplified to (/ 1 (* (sqrt x) x)) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt x))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt x))) * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt x))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt x))) * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 (- (sqrt x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt x)) * [exit]simplify: Simplified to (- (sqrt x)) * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt x) 1) * [exit]simplify: Simplified to (/ (sqrt x) 1) * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt x)) (cbrt (sqrt x)))) * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt x))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt x))) * * * * [misc]progress: [ 46 / 82 ] 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 * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/2) * [exit]simplify: Simplified to (- 1/2) * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 x)))) * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (log (sqrt (+ x 1)))) * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ 1 (sqrt (+ x 1))))) * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (sqrt (+ x 1))) * * * * [misc]progress: [ 56 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 (- (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x))) * [exit]simplify: Simplified to (- (sqrt (+ 1 x))) * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * * * * [misc]progress: [ 60 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) 1) * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * * * * [misc]progress: [ 63 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * * * * [misc]progress: [ 66 / 82 ] 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 * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow x 3) 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow x 3) 1))) * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * * * * [misc]progress: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 77 / 82 ] 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 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ -1/8 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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 (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +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 (+ 1/2 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ -1/8 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (- +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 2 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 3 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 4 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))) * * * * [misc]progress: [ 5 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 6 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 7 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 8 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 9 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 10 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt x) (* (* (sqrt x) x) (- 1/2 (* 1/8 x))))) * * * * [misc]progress: [ 11 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 12 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 13 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqrt (+ x 1))) (exp (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 14 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (log (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 16 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 17 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (cbrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 18 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) * [exit]simplify: Simplified to (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) * * * * [misc]progress: [ 19 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 20 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [exit]simplify: Simplified to (- (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (+ (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 21 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt x)) * [exit]simplify: Simplified to (- (sqrt x)) * * * * [misc]progress: [ 22 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (+ (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 24 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [enter]simplify: Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * * * * [misc]progress: [ 25 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [enter]simplify: Simplifying (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) * * * * [misc]progress: [ 26 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 27 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ (* x x) x) * [exit]simplify: Simplified to (+ (* x x) x) * * * * [misc]progress: [ 28 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 29 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * * * * [misc]progress: [ 31 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 32 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (pow (exp (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 33 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (* (sqrt x) x) (+ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (* (sqrt x) x) (+ 1 x))) * * * * [misc]progress: [ 34 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * [enter]simplify: Simplifying (cbrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 35 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)) * [exit]simplify: Simplified to (* (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)) * * * * [misc]progress: [ 36 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ (* x x) x) * [exit]simplify: Simplified to (+ (* x x) x) * * * * [misc]progress: [ 37 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 38 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ x 1))) (sqrt x)) (cbrt (sqrt (+ x 1)))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ x 1))) (sqrt x)) (cbrt (sqrt (+ x 1)))) * * * * [misc]progress: [ 40 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (fabs (cbrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 41 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 42 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt x)) * * * * [misc]progress: [ 43 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 44 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * * * * [misc]progress: [ 45 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 46 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 47 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 48 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow x 3))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow x 3))) (sqrt x)) * * * * [misc]progress: [ 49 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * * * * [misc]progress: [ 50 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqrt (+ x 1)) (sqrt x))) (+ (log (sqrt x)) (log (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (+ (log (sqrt (+ 1 x))) (log (sqrt x)))) * [exit]simplify: Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (+ (log (sqrt (+ 1 x))) (log (sqrt x)))) * * * * [misc]progress: [ 53 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqrt (+ x 1)) (sqrt x))) (log (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (log (* (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (- (sqrt (+ 1 x)) (sqrt x))) (log (* (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 54 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (log (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * * * * [misc]progress: [ 55 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (exp (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * * * * [misc]progress: [ 56 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) (* (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * [exit]simplify: Simplified to (/ (pow (- (sqrt (+ 1 x)) (sqrt x)) 3) (* (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x)))) * * * * [misc]progress: [ 57 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x))) (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))) 3) * * * * [misc]progress: [ 58 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))))) * [enter]simplify: Simplifying (cbrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (cbrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * * * * [misc]progress: [ 59 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1)))) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))) 3) * [exit]simplify: Simplified to (pow (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x)))) 3) * * * * [misc]progress: [ 60 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [enter]simplify: Simplifying (sqrt (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ 1 x))))) * * * * [misc]progress: [ 61 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (- (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (- (- (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (- (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (- (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 62 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (/ (sqrt x) (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * * * * [misc]progress: [ 63 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (sqrt (+ x 1)) (sqrt x))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt x)) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt x)) (cbrt (- (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x))) * * * * [misc]progress: [ 64 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt x)) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt x)) * [enter]simplify: Simplifying (/ (sqrt (- (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 x)) (sqrt x))) (sqrt (+ 1 x))) * * * * [misc]progress: [ 65 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 66 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * * * * [misc]progress: [ 67 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * * * * [misc]progress: [ 68 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 69 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 71 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 72 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 x)) (sqrt x)) 1) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 x)) (sqrt x)) 1) * * * * [misc]progress: [ 73 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (- (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 74 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (- (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 75 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 76 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * * * * [misc]progress: [ 77 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x)))) * * * * [misc]progress: [ 78 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 79 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 (pow x 3))) (sqrt x))) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 (pow x 3))) (sqrt x))) * * * * [misc]progress: [ 80 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 x)) (sqrt x)) 1) (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 x)) (sqrt x)) 1) (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 81 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (+ (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (* (+ (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 82 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) * [exit]simplify: Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) * * * * [misc]progress: [ 83 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * * * * [misc]progress: [ 86 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 87 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 88 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * * * * [misc]progress: [ 89 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * * * * [misc]progress: [ 90 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 91 / 96 ] 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 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 92 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * * * * [misc]progress: [ 93 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 94 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 95 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 96 ] 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 2) * [misc]approximate: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- +nan.0) (pow x 2)) (* (- +nan.0) x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt x) (sqrt (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* +nan.0 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 1/16) (+ (* +nan.0 -1/8) (+ (* +nan.0 1/2) (* +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) x) (+ (- +nan.0) (* +nan.0 (/ 1 x)))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 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]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)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.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 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (- +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- +nan.0) 1)) (* (- +nan.0) (/ (- +nan.0) 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +nan.0)) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ 1 (- +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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)) 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]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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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)) 1)) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [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))) 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]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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ +nan.0 +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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +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) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- 1 (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2))))))))) (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ (* x x) x) * [exit]simplify: Simplified to (+ (* x x) x) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ x 1)))) * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (pow (exp (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (pow (exp (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (* (sqrt x) x) (+ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (* (sqrt x) x) (+ 1 x))) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt x) (sqrt (+ x 1)))) (cbrt (* (sqrt x) (sqrt (+ x 1))))) * [enter]simplify: Simplifying (cbrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)) * [exit]simplify: Simplified to (* (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x)) * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ (* x x) x) * [exit]simplify: Simplified to (+ (* x x) x) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ x 1))) (sqrt x)) (cbrt (sqrt (+ x 1)))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ x 1))) (sqrt x)) (cbrt (sqrt (+ x 1)))) * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (fabs (cbrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt x)) * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow x 3))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow x 3))) (sqrt x)) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (+ (log (sqrt x)) (log (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) (+ (log (sqrt (+ 1 x))) (log (sqrt x)))) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) (+ (log (sqrt (+ 1 x))) (log (sqrt x)))) * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (log (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (* (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) (log (* (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (+ (log (sqrt x)) (log (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (+ (log (sqrt (+ x 1))) (log (sqrt x)))) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (+ (log (sqrt (+ x 1))) (log (sqrt x)))) * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (log (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (log (* (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (- (- (log (+ (sqrt (+ x 1)) (sqrt x)))) (log (* (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (log (+ (* (+ x 1) (sqrt x)) (* (sqrt (+ x 1)) x)))) * [exit]simplify: Simplified to (- (log (+ (* (+ x 1) (sqrt x)) (* (sqrt (+ x 1)) x)))) * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (exp (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * [exit]simplify: Simplified to (exp (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (* (+ (sqrt (+ x 1)) (sqrt x)) (* (+ x 1) (* x (sqrt x)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ x 1)) (* (+ (sqrt (+ x 1)) (sqrt x)) (* (+ x 1) (* x (sqrt x)))))) * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (* (* (sqrt x) (sqrt (+ x 1))) (* (sqrt x) (sqrt (+ x 1)))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (/ (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (sqrt (+ x 1)) (* (* (* (+ x 1) (sqrt x)) x) (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (* (sqrt (+ x 1)) (* (* (* (+ x 1) (sqrt x)) x) (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))) (cbrt (/ (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1)))) (cbrt (/ (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))))) * [enter]simplify: Simplifying (cbrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1)))) (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))) 3)) * [exit]simplify: Simplified to (/ 1 (pow (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))) 3)) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * [enter]simplify: Simplifying (sqrt (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x))))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (- 1) (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (- 1) (+ (sqrt (+ x 1)) (sqrt x))) * [enter]simplify: Simplifying (- (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (* (- (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) (sqrt x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt x))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt x))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt x)) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [exit]simplify: Simplified to (/ 1 (sqrt x)) * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) (sqrt x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) (* x x))) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) (* (+ x 1) (sqrt x))) (* x x))) * [enter]simplify: Simplifying (/ (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (/ (+ (+ 1 x) x) (sqrt (+ 1 x))) (sqrt x)) * [exit]simplify: Simplified to (- (/ (+ (+ 1 x) x) (sqrt (+ 1 x))) (sqrt x)) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) (sqrt x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 1) (sqrt x)) * [exit]simplify: Simplified to (/ (/ 1 1) (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (sqrt x) (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (sqrt x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (cbrt (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (sqrt (/ 1 (+ (sqrt x) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (* (* (/ (sqrt x) 1) (sqrt (+ x 1))) (+ (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqrt x) (- (/ (+ (+ x x) 1) (sqrt (+ x 1))) (sqrt x))) * [exit]simplify: Simplified to (/ (sqrt x) (- (/ (+ (+ x x) 1) (sqrt (+ x 1))) (sqrt x))) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (* (sqrt x) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ (pow x 3) 1)) (sqrt x))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt (+ (pow x 3) 1)) (sqrt x))) * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (sqrt x) (sqrt (- (* x x) (* 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (* (sqrt (- (* x x) 1)) (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt x)) (* (sqrt (- (* x x) 1)) (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt x) (sqrt (+ x 1))) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) * [exit]simplify: Simplified to (+ (* x (sqrt (+ x 1))) (* (+ x 1) (sqrt x))) * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ 1 x)) (sqrt x)))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (- (log (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 (- (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (- (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (+ x 1)) (sqrt x)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (+ 1 x)) (sqrt x)) 1) * [exit]simplify: Simplified to (/ (+ (sqrt (+ 1 x)) (sqrt x)) 1) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x))))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 84 / 99 ] 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 * * * * [misc]progress: [ 85 / 99 ] 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 * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqrt (+ x 1))) (exp (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (exp (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (log (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (exp (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (+ x 1)) (sqrt x))) (cbrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1 x)) (sqrt x)))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt x) (sqrt (+ 1 x))) 3) * [exit]simplify: Simplified to (pow (+ (sqrt x) (sqrt (+ 1 x))) 3) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [exit]simplify: Simplified to (+ (* (+ 1 x) (sqrt (+ 1 x))) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (- (+ (+ 1 x) x) (* (sqrt (+ 1 x)) (sqrt x))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (- (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ x 1)) (sqrt x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * [exit]simplify: Simplified to (+ (sqrt (+ 1 x)) (sqrt x)) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* (sqrt x) (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ x 1))) (sqrt x)) * [enter]simplify: Simplifying (/ 1 (+ (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (+ (* (+ x 1) (sqrt (+ x 1))) (* (sqrt x) x))) * [enter]simplify: Simplifying (fabs (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (+ (sqrt x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (+ (sqrt x) (sqrt (+ x 1))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (/ (+ (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [exit]simplify: Simplified to (/ (+ (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt x)) * [enter]simplify: Simplifying (/ (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 x))) (sqrt (sqrt x))) (sqrt (+ 1 x))) * [enter]simplify: Simplifying (* x (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) x) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) x) * [enter]simplify: Simplifying (* (+ x 1) (sqrt x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sqrt x) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt x) (+ 1 x)) * [enter]simplify: Simplifying (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) * [enter]simplify: Simplifying (* (+ (sqrt (+ x 1)) (sqrt x)) (+ (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) * [exit]simplify: Simplified to (* (+ (sqrt (+ 1 x)) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x))) * [enter]simplify: Simplifying (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * [exit]simplify: Simplified to (/ 1 (+ (* (sqrt (+ x 1)) x) (* (+ x 1) (sqrt x)))) * [enter]simplify: Simplifying (- 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/2) * [exit]simplify: Simplified to (- 1/2)