* [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 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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 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]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [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 (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (sqrt -1)) (sqr x)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) * [misc]approximate: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +nan.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 +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)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] 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 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (fma (sqrt x) (fma (/ (* 1/8 x) (sqrt -1)) x (/ (* x 1/2) (sqrt -1))) (* (sqrt x) (sqrt -1))) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (sqrt x)) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (sqrt x)) * * * * [misc]progress: [ 7 / 42 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (expm1 (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 8 / 42 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log1p (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 9 / 42 ] 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: [ 10 / 42 ] 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: [ 11 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 42 ] 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: [ 13 / 42 ] 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: [ 14 / 42 ] 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: [ 15 / 42 ] 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: [ 16 / 42 ] 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: [ 17 / 42 ] 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: [ 18 / 42 ] 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: [ 19 / 42 ] 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: [ 20 / 42 ] 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: [ 21 / 42 ] 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: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] 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: [ 24 / 42 ] 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: [ 25 / 42 ] 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: [ 26 / 42 ] 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: [ 27 / 42 ] 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 (36 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * * * * [misc]progress: [ 35 / 42 ] 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))) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [enter]simplify: Simplifying (sqrt (+ (sqr x) (+ (sqr 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (- x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [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 (/ (- (/ 1/8 (sqrt -1)) (sqr (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) (sqrt (sqrt -1))))) into (* 1/8 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (sqrt -1))) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (sqrt -1)) (sqr x)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (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 (sqrt (- (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (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 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x)) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (* (sqrt -1) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (* (* 1/2 (/ 1 (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 (/ (- (/ 1/8 (sqrt -1)) (sqr (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) (sqrt (sqrt -1))))) into (* 1/8 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (* 1/2 (/ 1 (sqrt -1))) +nan.0) (* (* 1/8 (/ 1 (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 (/ (- (/ 1/16 (sqrt -1)) (+ (* 2 (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))))))) (* 2 (sqrt (sqrt -1)))) into (* 1/2 (* (- (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/64 (/ 1 (pow (sqrt -1) 5)))) (* 1/32 (/ 1 (pow (sqrt -1) 3)))) (sqrt (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (* (- (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/64 (/ 1 (pow (sqrt -1) 5)))) (* 1/32 (/ 1 (pow (sqrt -1) 3)))) (sqrt (/ 1 (sqrt -1)))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))))) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (* (* 1/2 (* (- (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/64 (/ 1 (pow (sqrt -1) 5)))) (* 1/32 (/ 1 (pow (sqrt -1) 3)))) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))))) into (* 1/16 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) +nan.0) (+ (* (* 1/2 (/ 1 (sqrt -1))) +nan.0) (+ (* (* 1/8 (/ 1 (sqrt -1))) +nan.0) (* (* 1/16 (/ 1 (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 (* (sqr (sqrt (sqrt (- (/ 1 x) 1)))) (sqrt (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (sqrt (sqrt (- (/ 1 x) 1)))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqr (sqrt (sqrt (- (/ 1 x) 1)))) (sqrt (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqr (sqrt +nan.0)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 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 (+ (* (sqr (sqrt +nan.0)) +nan.0) (* (- +nan.0) 0)) into (- (* +nan.0 (sqr (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (sqrt +nan.0)))) into (- (* +nan.0 (sqr (sqrt +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 (- (+ (* 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 (/ (- +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 (+ (* (sqr (sqrt +nan.0)) +nan.0) (+ (* (- +nan.0) +nan.0) (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) 0))) into (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) into (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +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)) (* 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 (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt +nan.0)) +nan.0) (+ (* (- +nan.0) +nan.0) (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) +nan.0) (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) 0)))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) (sqr (/ 1 x))) (+ (* (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) (/ 1 x)) (- (* +nan.0 (sqr (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) (sqr x))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) x)) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) (sqrt (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +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 (* (sqrt +nan.0) (sqrt +nan.0)) into (sqr (sqrt +nan.0)) * [misc]backup-simplify: Simplify (* (sqr (sqrt +nan.0)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 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 (+ (* (sqr (sqrt +nan.0)) +nan.0) (* (- +nan.0) 0)) into (- (* +nan.0 (sqr (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (sqrt +nan.0)))) into (- (* +nan.0 (sqr (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 (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 (- 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 (/ (- +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 (+ (* (sqr (sqrt +nan.0)) +nan.0) (+ (* (- +nan.0) +nan.0) (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) 0))) into (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) into (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +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 (- 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 (/ (- +nan.0 (+ (* 2 (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))))))) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0)))) (+ (* (/ +nan.0 (sqrt +nan.0)) (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0)))) (+ (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0)) (sqrt +nan.0))) (/ +nan.0 (sqrt +nan.0))) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0)))) (sqrt +nan.0))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (sqr (sqrt +nan.0)) +nan.0) (+ (* (- +nan.0) +nan.0) (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- +nan.0))) +nan.0) (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 4))) (- +nan.0))))) 0)))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) into (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqr (sqrt +nan.0)))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))))) (sqr (/ 1 (- x)))) (+ (* (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- +nan.0))) (/ 1 (- x))) (- (* +nan.0 (sqr (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) (sqr x))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) x)) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt -1)) (* 2 (sqrt (sqrt -1)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [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 (/ (- (/ 1/8 (sqrt -1)) (sqr (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) into (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (- (* 1/8 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3)))))) (sqr x)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt -1) 3)))) x) (sqrt (sqrt -1)))) into (- (+ (sqrt (sqrt -1)) (+ (* 1/16 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (sqr x))) (* 1/4 (* (sqrt (/ 1 (pow (sqrt -1) 3))) x)))) (* 1/32 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (sqr x)))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +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 (/ +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (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))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (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 (- 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 (/ +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- +nan.0 (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: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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 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]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [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 (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (sqrt -1)) (sqr x)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) * [misc]approximate: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +nan.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 +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)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (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 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) (sqrt x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (fma (sqrt x) (fma (/ (* 1/8 x) (sqrt -1)) x (/ (* x 1/2) (sqrt -1))) (* (sqrt x) (sqrt -1))) * * * * [misc]progress: [ 2 / 80 ] 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))))))))) (sqrt x)) * * * * [misc]progress: [ 3 / 80 ] 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))))))))) (sqrt x)) * * * * [misc]progress: [ 4 / 80 ] 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: [ 5 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) (sqr x))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) x)) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))))))))) * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) (sqr x))) (- (+ (* +nan.0 (sqr (sqrt +nan.0))) (- (+ (* +nan.0 (/ (sqr (sqrt +nan.0)) x)) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (* (sqr (sqrt +nan.0)) (sqr x))))))))))))))) * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (- (+ (sqrt (sqrt -1)) (+ (* 1/16 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (sqr x))) (* 1/4 (* (sqrt (/ 1 (pow (sqrt -1) 3))) x)))) (* 1/32 (* (sqrt (/ 1 (pow (sqrt -1) 7))) (sqr x))))) (sqrt x)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (* (sqrt x) (* (- (fma (sqrt (/ (/ 1 -1) (sqrt -1))) (fma (* x 1/16) x (* 1/4 x)) (sqrt (sqrt -1))) (* (* x (* x 1/32)) (sqrt (/ 1 (pow (sqrt -1) 7))))) (- (fma (sqrt (/ (/ 1 -1) (sqrt -1))) (fma (* x 1/16) x (* 1/4 x)) (sqrt (sqrt -1))) (* (* x (* x 1/32)) (sqrt (/ 1 (pow (sqrt -1) 7))))))) * * * * [misc]progress: [ 8 / 80 ] 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)))))))))) (sqrt x)) * * * * [misc]progress: [ 9 / 80 ] 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)))))))))) (sqrt x)) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))))) (sqrt x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 (/ (* x x) (sqrt -1)) (sqrt -1)) (sqrt x) (* (* (sqrt x) x) (/ 1/2 (sqrt -1)))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) (sqrt x)) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) (sqrt x)) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- x 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- x 1))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 23 / 80 ] 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)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 24 / 80 ] 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 (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (- (pow x 3) (pow 1 3))))) * * [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 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr x) (+ (sqr 1) (* x 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (- (sqr x) (sqr 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (expm1 (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log1p (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log1p (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr (sqrt (sqrt (- x 1))))) (log (sqrt x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 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: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr (sqrt (sqrt (- x 1))))) (cube (sqrt x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (sqrt x) (* (sqrt (- x 1)) (* (- x 1) x))) * [exit]simplify: Simplified to (* (sqrt x) (* (sqrt (- x 1)) (* (- x 1) x))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (* x (sqrt (- x 1))) (* (- x 1) (sqrt x))) * [exit]simplify: Simplified to (* (* x (sqrt (- x 1))) (* (- x 1) (sqrt x))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr (sqrt (sqrt (- x 1))))) (cbrt (sqrt x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt (- x 1)))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr (sqrt (sqrt (- x 1)))) (sqrt x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 41 / 80 ] 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: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (sqrt (- x 1)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 47 / 80 ] 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: [ 48 / 80 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- x 1))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (cube x) 1)) (sqrt x)) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (sqrt (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 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqr x) 1)) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (- (sqr x) 1)) (sqrt x)) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (log1p (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (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)) (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [enter]simplify: Simplifying (sqrt (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 61 / 80 ] 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))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (cube x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (cube x) 1))) * [enter]simplify: Simplifying (sqrt (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 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x x (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x x (+ x 1)))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (sqr x) (sqr 1)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (sqr x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (- x 1)))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * * * * [misc]progress: [ 73 / 80 ] 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))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [enter]simplify: Simplifying (sqrt (+ (sqr x) (+ (sqr 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (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 / 4 ] 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: [ 3 / 4 ] 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: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 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 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]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [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 (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (sqrt -1)) (sqr x)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) * [misc]approximate: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +nan.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 +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)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 +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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (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 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] 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 / 76 ] 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 / 76 ] 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 / 76 ] 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: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))))) * * * * [misc]progress: [ 7 / 76 ] 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: [ 8 / 76 ] 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: [ 9 / 76 ] 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: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (sqr x) (sqrt -1))) (sqrt -1))) (sqrt x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (fma (fma (/ x (sqrt -1)) 1/2 (sqrt -1)) (sqrt x) (* (* (sqrt x) (* 1/8 x)) (/ x (sqrt -1)))) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (sqrt x)))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* (- (+ (* +nan.0 (/ 1 (sqr x))) (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))))) (sqrt x)))) * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (expm1 (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (expm1 (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (log1p (* (sqrt x) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log1p (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] 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: [ 18 / 76 ] 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: [ 19 / 76 ] 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: [ 20 / 76 ] 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: [ 21 / 76 ] 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: [ 22 / 76 ] 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: [ 23 / 76 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * * * * [misc]progress: [ 24 / 76 ] 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 (40 enodes) * * [misc]simplify: iters left: 1 (54 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: [ 25 / 76 ] 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: [ 26 / 76 ] 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: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (expm1 (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 29 / 76 ] 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) (sqrt (- x 1)))) * [exit]simplify: Simplified to (log1p (* (sqrt x) (sqrt (- x 1)))) * * * * [misc]progress: [ 30 / 76 ] 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: [ 31 / 76 ] 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: [ 32 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 76 ] 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: [ 34 / 76 ] 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: [ 35 / 76 ] 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: [ 36 / 76 ] 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: [ 37 / 76 ] 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: [ 38 / 76 ] 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: [ 39 / 76 ] 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: [ 40 / 76 ] 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: [ 41 / 76 ] 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: [ 42 / 76 ] 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: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] 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: [ 45 / 76 ] 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: [ 46 / 76 ] 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: [ 47 / 76 ] 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: [ 48 / 76 ] 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 (36 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (- (sqr x) 1))) * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (expm1 (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (* (sqrt (- x 1)) (sqrt x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (sqrt x) (sqrt (- x 1))))) * [exit]simplify: Simplified to (log1p (cbrt (* (sqrt x) (sqrt (- x 1))))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] 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: [ 55 / 76 ] 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: [ 56 / 76 ] 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: [ 57 / 76 ] 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 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma x x (+ x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma x x (+ x 1)))) * * * * [misc]progress: [ 58 / 76 ] 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 (37 enodes) * * [misc]simplify: iters left: 1 (51 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: [ 59 / 76 ] 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: [ 60 / 76 ] 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: [ 61 / 76 ] 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: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * [exit]simplify: Simplified to (expm1 (sqrt (- x 1))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * [exit]simplify: Simplified to (log (sqrt (- x 1))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * [exit]simplify: Simplified to (exp (sqrt (- x 1))) * * * * [misc]progress: [ 69 / 76 ] 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))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (- x 1)) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [exit]simplify: Simplified to (sqrt (- (cube x) 1)) * [enter]simplify: Simplifying (sqrt (+ (sqr x) (+ (sqr 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * [exit]simplify: Simplified to (sqrt (fma x x (+ x 1))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr x) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [exit]simplify: Simplified to (sqrt (- (sqr x) 1)) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [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 (log (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (log (sqrt (sqrt (- x 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (- x 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (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))) * [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))))) * [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 (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- x 1))) * [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))) * [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 (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 (log1p (sqrt (- x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- x 1))) * [exit]simplify: Simplified to (log1p (sqrt (- x 1)))