* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [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 (+ x 1)) (sqrt x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- (+ (* 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 2 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 3 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 4 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (expm1 (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 5 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 6 / 18 ] 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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 7 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 18 ] 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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (log (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 9 / 18 ] 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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (exp (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 10 / 18 ] simplifiying candidate # * [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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 11 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (cube (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 12 / 18 ] 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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 13 / 18 ] 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: [ 14 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 18 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x))) * [exit]simplify: Simplified to (- (* (sqrt (+ x 1)) (+ x 1)) (* x (sqrt x))) * [enter]simplify: Simplifying (+ (sqr (sqrt (+ x 1))) (+ (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (fma (sqrt x) (sqrt (+ x 1)) (+ (+ x 1) x)) * [exit]simplify: Simplified to (fma (sqrt x) (sqrt (+ x 1)) (+ (+ x 1) x)) * * * * [misc]progress: [ 16 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt (+ x 1))) (sqr (sqrt x))) * * [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) * [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 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (+ (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 17 / 18 ] 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 (+ x 1))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (+ (sqrt (sqrt (+ x 1))) (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 (+ x 1))) (sqrt (sqrt x))) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ x 1))) (sqrt (sqrt x))) * * * * [misc]progress: [ 18 / 18 ] 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 (+ x 1)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ x 1)) (sqrt x)) * * * [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 / 1 ] generating series at (2) * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 2 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 3 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 21 ] 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 x) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ x 1))))) * * * * [misc]progress: [ 9 / 21 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 10 / 21 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 11 / 21 ] simplifiying candidate # * [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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 12 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 13 / 21 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 14 / 21 ] 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 x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (+ (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 15 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 21 ] 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) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 17 / 21 ] 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 x) (sqrt (+ x 1))) 1) * [exit]simplify: Simplified to (/ (+ (sqrt x) (sqrt (+ x 1))) 1) * * * * [misc]progress: [ 18 / 21 ] 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: [ 19 / 21 ] 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: [ 20 / 21 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * * * [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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 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]backup-simplify: Simplify (sqrt 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) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 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]backup-simplify: Simplify (sqrt 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) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (* +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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr +nan.0) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqr (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) (sqr (sqrt +nan.0)))) into (- (sqr (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqr (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (/ +nan.0 (sqrt +nan.0))) (* (/ +nan.0 (sqrt +nan.0)) (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) (sqr (sqrt +nan.0)))) into (- (sqr (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 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]backup-simplify: Simplify (sqrt 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) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 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]backup-simplify: Simplify (sqrt 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) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr +nan.0) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (sqr x)) (+ (* +nan.0 x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqr (/ 1 x))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) 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]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqr (/ 1 (- x)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x)))))))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x)))))))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (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 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * [enter]simplify: Simplifying (sqr (sqrt (+ (sqr (sqrt (+ x 1))) (- (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (- (+ (+ x 1) x) (* (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (sqr (sqrt (- (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (+ x 1)) (sqrt x)) * [exit]simplify: Simplified to (- (sqrt (+ x 1)) (sqrt x)) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (+ (sqrt x) (sqrt (+ x 1))) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (expm1 (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (log1p (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] 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 x) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ x 1))))) * * * * [misc]progress: [ 32 / 60 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (- (log (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 33 / 60 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (exp (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 36 / 60 ] 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 37 / 60 ] 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 x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (- (+ (sqrt x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] 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) (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * * * [misc]progress: [ 40 / 60 ] 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 x) (sqrt (+ x 1))) 1) * [exit]simplify: Simplified to (/ (+ (sqrt x) (sqrt (+ x 1))) 1) * * * * [misc]progress: [ 41 / 60 ] 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: [ 42 / 60 ] 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: [ 43 / 60 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * [exit]simplify: Simplified to (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x))) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (expm1 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (log1p (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (log (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (exp (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 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 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ 1 (+ (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) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 53 / 60 ] 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 (/ 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 54 / 60 ] 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 (/ 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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (pow (sqrt (+ x 1)) 3) (pow (sqrt x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqrt (+ x 1))) (- (sqr (sqrt x)) (* (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (+ x x) 1) (* (sqrt (+ x 1)) (sqrt x)))) * [exit]simplify: Simplified to (sqrt (- (+ (+ x x) 1) (* (sqrt (+ x 1)) (sqrt x)))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (sqr (sqrt (+ x 1))) (sqr (sqrt x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 1)) * [exit]simplify: Simplified to (sqrt (/ 1 1)) * [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 (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ x 1)) (sqrt x))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [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: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 7 * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1 (- +nan.0)) (* (- +nan.0) 1)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (sqr +nan.0) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ +nan.0 1)) (* (- +nan.0) (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* 1 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) 1))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ 1 (sqrt +nan.0))) into (/ 1 (sqr (sqrt +nan.0))) * [misc]backup-simplify: Simplify (/ 1 (sqr (sqrt +nan.0))) into (/ 1 (sqr (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (/ 1 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) (sqr (/ 1 x))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 x)) (/ 1 (sqr (sqrt +nan.0))))) into (- (/ 1 (sqr (sqrt +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt +nan.0)) (/ 1 (sqrt +nan.0))) into (/ 1 (sqr (sqrt +nan.0))) * [misc]backup-simplify: Simplify (/ 1 (sqr (sqrt +nan.0))) into (/ 1 (sqr (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt +nan.0)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (/ 1 (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 6)))))) (sqr (/ 1 (- x)))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4)))) (/ 1 (- x))) (/ 1 (sqr (sqrt +nan.0))))) into (- (/ 1 (sqr (sqrt +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ +nan.0 1)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (sqr +nan.0) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (sqr (/ 1 x))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 x)) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (/ 1 (sqrt +nan.0)) into (/ 1 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) into (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt +nan.0)) (+ (* (/ 1 (sqrt +nan.0)) (/ (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqrt +nan.0))) (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ (/ +nan.0 (sqrt +nan.0)) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 5))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (sqr (/ 1 (- x)))) (+ (* (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))) (/ 1 (- x))) (/ 1 (sqrt +nan.0)))) into (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1/2 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt 1))) into +nan.0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ -1/8 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (sqr +nan.0) (+)) (* 2 1)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (sqr x)) (+ (* +nan.0 x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqr (/ 1 x))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (- +nan.0)) into (sqrt +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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +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) (sqr (/ +nan.0 (sqrt +nan.0))) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (sqr (/ 1 (- x)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))) * * * [misc]progress: tayloring alt 2 of 7 * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: tayloring alt 3 of 7 * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))))) into (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))))) into (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) into (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt x) (sqrt (+ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) into (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt x) (sqrt (+ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) into (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) into (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) (* 0 (/ 0 (cube (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) into (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) (* 0 (/ 0 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) (* 0 (/ 0 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]approximate: Taking taylor expansion of (cube (+ (sqrt x) (sqrt (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt x) (sqrt (+ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt x) (sqrt (+ 1 x)))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (+ (sqrt x) (sqrt (+ 1 x)))) into (cube (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (+ (sqrt (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x)))))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * * * [misc]progress: tayloring alt 4 of 7 * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) into (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) into (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) into (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) into (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) into (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) into (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: tayloring alt 5 of 7 * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- (+ (* 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: tayloring alt 6 of 7 * [misc]approximate: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) into (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))) into (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * [misc]approximate: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) into (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]taylor: Taking taylor expansion of (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))) into (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) into (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]approximate: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))))) into (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) into (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))))) into (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) into (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (sqrt (/ 1 (+ (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))))) into (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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))))) 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * [misc]progress: tayloring alt 7 of 7 * [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 (sqr 1/2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 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) (sqr x)) (+ (* (- +nan.0) x) 1)) into (- 1 (+ (* +nan.0 (sqr x)) (- (* +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 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- (+ (* 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) (sqr (/ 1 x))) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 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]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 (sqr +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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +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 (- 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) (sqr (/ 1 (- x)))) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))) into (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ x 1)) (sqrt x)))) into (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) into (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) into (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) into (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x))))) into (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) into (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) into (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) into (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * [misc]approximate: Taking taylor expansion of (log1p (- (sqrt (+ x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ x 1)) (sqrt x))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ x 1)) (sqrt x))) into (log1p (- (sqrt (+ 1 x)) (sqrt x))) * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ x 1)) (sqrt x))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ x 1)) (sqrt x))) into (log1p (- (sqrt (+ 1 x)) (sqrt x))) * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ 1 x)) (sqrt x))) into (log1p (- (sqrt (+ 1 x)) (sqrt x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ 1 x)) (sqrt x))) into (log1p (- (sqrt (+ 1 x)) (sqrt x))) * [misc]approximate: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) into (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ (/ 1 x) 1)) (sqrt (/ 1 x)))) into (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) into (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) into (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) into (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (log1p (- (sqrt (+ (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) into (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) into (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * * * [misc]progress: simplifying alt 1 of 54 * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 2 of 54 * [enter]simplify: Simplifying (- (/ 1 (sqr (sqrt +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 3 of 54 * [enter]simplify: Simplifying (- (/ 1 (sqr (sqrt +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 6) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 4) x)))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 4 of 54 * [enter]simplify: Simplifying (sqr (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 5 of 54 * [enter]simplify: Simplifying (sqr (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x)))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 6 of 54 * [enter]simplify: Simplifying (sqr (- (/ 1 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 5) (sqr x)))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x)))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 7 of 54 * [enter]simplify: Simplifying (sqr (/ (sqrt 1) (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 8 of 54 * [enter]simplify: Simplifying (sqr (/ (sqrt 1) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 9 of 54 * [enter]simplify: Simplifying (sqr (/ (sqrt 1) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (sqr x)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (sqr x))))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 10 of 54 * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 11 of 54 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 12 of 54 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 13 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * [misc]progress: simplifying alt 14 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))))) * [misc]none: prog is (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))))) * * * [misc]progress: simplifying alt 15 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))))) * * * [misc]progress: simplifying alt 16 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * [misc]progress: simplifying alt 17 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))))) * [misc]none: prog is (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))))) * * * [misc]progress: simplifying alt 18 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))))) * * * [misc]progress: simplifying alt 19 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt x) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (+ 1 x)) (sqrt x)))))) * * * [misc]progress: simplifying alt 20 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))))) * [misc]none: prog is (λ (x) (cbrt (/ (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) (sqr (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))))) * * * [misc]progress: simplifying alt 21 of 54 * [enter]simplify: Simplifying (cbrt (/ 1 (cube (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))))) * [misc]none: prog is (λ (x) (cbrt (/ 1 (cube (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))))) * * * [misc]progress: simplifying alt 22 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) * * * [misc]progress: simplifying alt 23 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * * [misc]progress: simplifying alt 24 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))) * * * [misc]progress: simplifying alt 25 of 54 * [enter]simplify: Simplifying (cube (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) * * * [misc]progress: simplifying alt 26 of 54 * [enter]simplify: Simplifying (cube (cbrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * * [misc]progress: simplifying alt 27 of 54 * [enter]simplify: Simplifying (cube (cbrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))) * * * [misc]progress: simplifying alt 28 of 54 * [enter]simplify: Simplifying (cube (cbrt (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 29 of 54 * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 30 of 54 * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 31 of 54 * [enter]simplify: Simplifying (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 32 of 54 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 33 of 54 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 34 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) * * * [misc]progress: simplifying alt 35 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * * [misc]progress: simplifying alt 36 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))) * * * [misc]progress: simplifying alt 37 of 54 * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) * * * [misc]progress: simplifying alt 38 of 54 * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * * [misc]progress: simplifying alt 39 of 54 * [enter]simplify: Simplifying (sqr (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))) * * * [misc]progress: simplifying alt 40 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) * * * [misc]progress: simplifying alt 41 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * * [misc]progress: simplifying alt 42 of 54 * [enter]simplify: Simplifying (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x))))) * [misc]none: prog is (λ (x) (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1 (/ 1 x)))))) * * * [misc]progress: simplifying alt 43 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 44 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 45 of 54 * [enter]simplify: Simplifying (sqr (cbrt (cube (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 46 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- 1 (+ (* +nan.0 (sqr x)) (- (* +nan.0 x)))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 47 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 48 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * [misc]none: prog is (λ (x) +nan.0) * * * [misc]progress: simplifying alt 49 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [misc]none: prog is (λ (x) (- (sqrt (+ 1 x)) (sqrt x))) * * * [misc]progress: simplifying alt 50 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) * [misc]none: prog is (λ (x) (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * * * [misc]progress: simplifying alt 51 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) * [misc]none: prog is (λ (x) (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * * * [misc]progress: simplifying alt 52 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (+ 1 x)) (sqrt x)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 x)) (sqrt x)) * [misc]none: prog is (λ (x) (- (sqrt (+ 1 x)) (sqrt x))) * * * [misc]progress: simplifying alt 53 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) * [misc]none: prog is (λ (x) (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x)))) * * * [misc]progress: simplifying alt 54 of 54 * [enter]simplify: Simplifying (expm1 (log1p (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) * [misc]none: prog is (λ (x) (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (sqrt (+ x 1)) (sqrt x))) * * [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 (cube (+ (sqrt x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (cube (+ (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (cube (+ (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) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [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 (+ x 1)) (sqrt x)) * [enter]simplify: Simplifying (cube (sqrt (/ 1 (+ (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) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))) * [enter]simplify: Simplifying (log1p (- (sqrt (+ x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x))) * [exit]simplify: Simplified to (log1p (- (sqrt (+ x 1)) (sqrt x)))