* [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) (sqrt (- x 1))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (* (sqrt -1) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (* (/ 1/2 (sqrt -1)) 0)) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt -1))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ 1/2 (sqrt -1))) (+)) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (* (/ 1/8 (sqrt -1)) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ 1/8 (sqrt -1)))))) (* 2 (sqrt -1))) into (/ 1/16 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (+ (* (/ 1/8 (sqrt -1)) +nan.0) (* (/ 1/16 (sqrt -1)) 0)))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) (sqr x)) (* (- (* +nan.0 (sqrt -1))) x))) into (- (+ (* +nan.0 (* (sqrt -1) (sqr x))) (- (+ (* +nan.0 (* (sqrt -1) x)) (- (+ (* +nan.0 (* (sqrt -1) (pow x 3))) (- (+ (* +nan.0 (/ (sqr x) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (sqrt -1)))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) 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 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 1) into -1 * [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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) 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 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt -1) (sqr x))) (- (+ (* +nan.0 (* (sqrt -1) x)) (- (+ (* +nan.0 (* (sqrt -1) (pow x 3))) (- (+ (* +nan.0 (/ (sqr x) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (sqrt -1)))))))))))) * * * * [misc]progress: [ 2 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 4 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- x 1) x) * [exit]simplify: Simplified to (* (- x 1) x) * * * * [misc]progress: [ 5 / 23 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 6 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (- x 1))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt x))) * [exit]simplify: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt x))) * * * * [misc]progress: [ 8 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 9 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 10 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqrt (- x 1))) (cube (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* x (* (* (- x 1) (sqrt x)) (sqrt (- x 1)))) * [exit]simplify: Simplified to (* x (* (* (- x 1) (sqrt x)) (sqrt (- x 1)))) * * * * [misc]progress: [ 11 / 23 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 12 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* x (- x 1)) (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (* (* x (- x 1)) (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 13 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * * * * [misc]progress: [ 14 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- x 1) x) * [exit]simplify: Simplified to (* (- x 1) x) * * * * [misc]progress: [ 15 / 23 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 16 / 23 ] simplifiying candidate # * [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: [ 17 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 19 / 23 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 20 / 23 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 21 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) * * [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 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * * * * [misc]progress: [ 22 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqr x) (sqr 1))) (sqrt x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * * * * [misc]progress: [ 23 / 23 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [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 (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) into (sqrt (* (- x 1) x)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) into (sqrt (* (- x 1) x)) * [misc]backup-simplify: Simplify (sqrt (* (- x 1) x)) into (sqrt (* (- x 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 (* (- x 1) x)) into (sqrt (* (- x 1) x)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))))) into (sqrt (/ (- (/ 1 x) 1) x)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))))) into (sqrt (/ (- (/ 1 x) 1) x)) * [misc]backup-simplify: Simplify (sqrt (/ (- (/ 1 x) 1) x)) into (sqrt (/ (- (/ 1 x) 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 x) 1) x)) into (sqrt (/ (- (/ 1 x) 1) x)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))))) into (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))) into (* (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 x)) (sqrt (- (+ 1 (/ 1 x))))) into (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- x 1)) (sqrt x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- x 1)) (sqrt x))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- x 1)) (sqrt x))) into (cbrt (sqrt (* (- x 1) x))) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- x 1)) (sqrt x))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- x 1)) (sqrt x))) into (cbrt (sqrt (* (- x 1) x))) * [misc]backup-simplify: Simplify (cbrt (sqrt (* (- x 1) x))) into (cbrt (sqrt (* (- x 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 (sqrt (* (- x 1) x))) into (cbrt (sqrt (* (- x 1) x))) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x)))) into (cbrt (sqrt (/ (- (/ 1 x) 1) x))) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x)))) into (cbrt (sqrt (/ (- (/ 1 x) 1) x))) * [misc]backup-simplify: Simplify (cbrt (sqrt (/ (- (/ 1 x) 1) x))) into (cbrt (sqrt (/ (- (/ 1 x) 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 (sqrt (/ (- (/ 1 x) 1) x))) into (cbrt (sqrt (/ (- (/ 1 x) 1) x))) * [misc]approximate: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) into (cbrt (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cbrt (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x))))) into (cbrt (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (cbrt (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x)))))) into (cbrt (* (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 (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x)))))) into (cbrt (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (- x 1)) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (- x 1)) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (* (sqrt -1) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (* (/ 1/2 (sqrt -1)) 0)) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt -1))) into (- (* +nan.0 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (/ 1/2 (sqrt -1))) (+)) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (* (/ 1/8 (sqrt -1)) 0))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ 1/8 (sqrt -1)))))) (* 2 (sqrt -1))) into (/ 1/16 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (/ 1/2 (sqrt -1)) +nan.0) (+ (* (/ 1/8 (sqrt -1)) +nan.0) (* (/ 1/16 (sqrt -1)) 0)))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) into (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (/ 1 (sqrt -1))) (- (* +nan.0 (sqrt -1))))) (sqr x)) (* (- (* +nan.0 (sqrt -1))) x))) into (- (+ (* +nan.0 (* (sqrt -1) (sqr x))) (- (+ (* +nan.0 (* (sqrt -1) x)) (- (+ (* +nan.0 (* (sqrt -1) (pow x 3))) (- (+ (* +nan.0 (/ (sqr x) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (sqrt -1)))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) 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 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (- 1) into -1 * [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 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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) 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 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- x 1) x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (* (- x 1) x)) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 x) 1) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 x) 1) x)) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (/ -1 x)) (sqrt (+ (/ (- 1) x) (- 1)))) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (sqrt (* (- x 1) 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 (sqrt (* (- x 1) x)) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (sqrt (/ (- (/ 1 x) 1) x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1 x) x) (/ 1 x))) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (sqrt (/ -1 x)) (sqrt (- (+ 1 (/ 1 x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (/ -1 x)) (sqrt (- (+ (/ 1 x) 1)))) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (* (sqrt -1) (sqr x))) (- (+ (* +nan.0 (* (sqrt -1) x)) (- (+ (* +nan.0 (* (sqrt -1) (pow x 3))) (- (+ (* +nan.0 (/ (sqr x) (sqrt -1))) (- (* +nan.0 (/ (pow x 3) (sqrt -1)))))))))))))) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (* (sqrt (- x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (* (sqrt (- x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (* (sqrt (- x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- x 1)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (* (sqrt (- x 1)) (sqrt x))) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (* (sqrt (- x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (58 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))) * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * [enter]simplify: Simplifying (cube (cbrt (sqrt x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (sqrt (- (pow x 3) (pow 1 3))) (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 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * [enter]simplify: Simplifying (cube (cbrt (sqrt (+ (sqr x) (+ (sqr 1) (* x 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (+ (sqr x) (+ x 1))) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (sqrt (- (sqr x) (sqr 1))) (sqrt x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [enter]simplify: Simplifying (cube (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqr (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (sqr (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (* (sqrt (- x 1)) (sqrt x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (log (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (exp (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- x 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- x 1))) * [enter]simplify: Simplifying (cbrt (sqrt x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt x)) * [exit]simplify: Simplified to (cbrt (sqrt x)) * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))) * * [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 (22 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- (cube x) 1)) (sqrt x))) * [exit]simplify: Simplified to (cbrt (* (sqrt (- (cube x) 1)) (sqrt x))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqr x) (+ (sqr 1) (* x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqr x) (+ x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (sqr x) (+ x 1)))) * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (sqr x) (sqr 1))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- (sqr x) 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- (sqr x) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ x 1))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (cbrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- x 1) x) * [exit]simplify: Simplified to (* (- x 1) x) * * * * [misc]progress: [ 35 / 53 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (- x 1))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt x))) * [exit]simplify: Simplified to (+ (log (sqrt (- x 1))) (log (sqrt x))) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqrt (- x 1))) (cube (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* x (* (* (- x 1) (sqrt x)) (sqrt (- x 1)))) * [exit]simplify: Simplified to (* x (* (* (- x 1) (sqrt x)) (sqrt (- x 1)))) * * * * [misc]progress: [ 41 / 53 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqrt (- x 1)) (sqrt x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* x (- x 1)) (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (* (* x (- x 1)) (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- x 1) x) * [exit]simplify: Simplified to (* (- x 1) x) * * * * [misc]progress: [ 45 / 53 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [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: [ 47 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 49 / 53 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 50 / 53 ] 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) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) * * [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 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (sqr x) (sqr 1))) (sqrt x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* (- x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (- x 1) x) * [exit]simplify: Simplified to (* (- x 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) (sqrt (- x 1))) * [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))) * [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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- x 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (sqrt x) (sqrt (- x 1))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- x 1))) (cbrt (sqrt x)))