* [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 (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -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 (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 16 / 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 (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (* x 2))) (log (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (expm1 (* x 2))) (cube (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (expm1 (* 2 x))) * [exit]simplify: Simplified to (- (expm1 (* 2 x))) * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (expm1 (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* x 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) into (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) into (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4)) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (* 2 x)) (expm1 x)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))))) into (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))))) into (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4)) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))))) into (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))))) into (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4)) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* x 2)) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 x)) (+ (* (/ (expm1 (* 2 x)) (expm1 x)) (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))) (* 0 (/ 0 (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ 1 x))) (+ (* (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))) (* 0 (/ 0 (expm1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (expm1 (/ -1 x))) (+ (* (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))) (* 0 (/ 0 (expm1 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ 1 1)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 20 / 62 ] 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 (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (expm1 (* x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (/ 1 (expm1 x))))) * * [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 (sqrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 22 / 62 ] 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 (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 23 / 62 ] 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 (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (expm1 (* x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (expm1 x)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (expm1 x)) (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 36 / 62 ] 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 (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (* x 2))) (log (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * [exit]simplify: Simplified to (- (log (expm1 (* 2 x))) (log (expm1 x))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (expm1 (* x 2))) (cube (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (expm1 (* 2 x))) * [exit]simplify: Simplified to (- (expm1 (* 2 x))) * [enter]simplify: Simplifying (- (expm1 x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 x)) * [exit]simplify: Simplified to (- (expm1 x)) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [exit]simplify: Simplified to (* (/ (exp x) (expm1 x)) (exp x)) * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (expm1 (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* x 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) 1) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (expm1 (* x 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * [exit]simplify: Simplified to (/ (expm1 x) (expm1 (* 2 x))) * * * [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 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (sqrt (expm1 x)) into (sqrt (expm1 x)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]backup-simplify: Simplify (sqrt (expm1 x)) into (sqrt (expm1 x)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 x))) (+ (* (sqrt (/ (expm1 (* 2 x)) (expm1 x))) (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))) (* 0 (/ 0 (sqrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (* 2 x)) (expm1 x))) into (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 x) 2))) (sqrt (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 x) 2))) (sqrt (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 x))) into (sqrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 x) 2))) (sqrt (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 1 x))) into (sqrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ 1 x)))) (+ (* (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 (- x)) 2))) (sqrt (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 (- x)) 2))) (sqrt (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -1 x))) into (sqrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (/ -2 x))) (sqrt (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (expm1 (* (/ 1 (- x)) 2))) (sqrt (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -1 x))) into (sqrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (expm1 (/ -2 x))) (sqrt (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (expm1 (/ -1 x)))) (+ (* (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))) (* 0 (/ 0 (sqrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x 2)) in x * [misc]backup-simplify: Simplify (expm1 (* x 2)) into (expm1 (* 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (* 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (* 2 x))) into (sqrt (expm1 (* 2 x))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 x) 2)) into (expm1 (/ 2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ 2 x))) into (sqrt (expm1 (/ 2 x))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) 2)) in x * [misc]backup-simplify: Simplify (expm1 (* (/ 1 (- x)) 2)) into (expm1 (/ -2 x)) * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (expm1 (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (expm1 (/ -2 x))) into (sqrt (expm1 (/ -2 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 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (/ -2 x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (/ -2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (expm1 (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (log1p (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (expm1 (* x 2)))) (log (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (log (sqrt (expm1 (* 2 x)))) (log (sqrt (expm1 x)))) * [exit]simplify: Simplified to (- (log (sqrt (expm1 (* 2 x)))) (log (sqrt (expm1 x)))) * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (log (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (exp (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqrt (expm1 (* x 2)))) (cube (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (expm1 (* 2 x)) (expm1 x)) (/ (sqrt (expm1 x)) (sqrt (expm1 (* 2 x))))) * [exit]simplify: Simplified to (/ (/ (expm1 (* 2 x)) (expm1 x)) (/ (sqrt (expm1 x)) (sqrt (expm1 (* 2 x))))) * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (sqrt (expm1 x))) (/ (sqrt (expm1 (* 2 x))) (expm1 x))) * [exit]simplify: Simplified to (* (/ (expm1 (* 2 x)) (sqrt (expm1 x))) (/ (sqrt (expm1 (* 2 x))) (expm1 x))) * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (expm1 (* x 2)))) (cbrt (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (expm1 (* 2 x)))) (cbrt (sqrt (expm1 x)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (expm1 (* 2 x)))) (cbrt (sqrt (expm1 x)))) * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (expm1 (* x 2)))) (sqrt (sqrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (expm1 (* 2 x)))) (sqrt (sqrt (expm1 x)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (expm1 (* 2 x)))) (sqrt (sqrt (expm1 x)))) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (- (sqrt (expm1 (* 2 x)))) * [enter]simplify: Simplifying (- (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (sqrt (expm1 x))) * [exit]simplify: Simplified to (- (sqrt (expm1 x))) * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt (expm1 x))) * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) (sqrt 1)) * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* x 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) 1) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* 2 x))) 1) * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (expm1 (* x 2)))) * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* 2 x))) (expm1 (* 2 x))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* 2 x))) (expm1 (* 2 x))) * * * * [misc]progress: [ 40 / 43 ] 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 (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (sqrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (expm1 (* 2 x)) (expm1 x)))) * [enter]simplify: Simplifying (/ (expm1 (* x 2)) (expm1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [enter]simplify: Simplifying (sqrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x))