* [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 / 3 ] 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: [ 2 / 3 ] 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: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (expm1 x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]backup-simplify: Simplify (expm1 x) into (expm1 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 x) into (expm1 x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 x) into (expm1 x) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 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 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ 1 x)) into (expm1 (/ 1 x)) * [misc]approximate: Taking taylor expansion of (expm1 (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (expm1 (/ 1 (- x))) into (expm1 (/ -1 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 (/ -1 x)) into (expm1 (/ -1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ -1 x)) into (expm1 (/ -1 x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] 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 / 55 ] 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 / 55 ] 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 / 55 ] 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 / 55 ] 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 / 55 ] 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 / 55 ] 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))) * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 (/ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* x 2)) (expm1 (/ -1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 10 / 55 ] 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: [ 11 / 55 ] 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: [ 12 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 55 ] 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: [ 14 / 55 ] 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: [ 15 / 55 ] 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: [ 16 / 55 ] 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: [ 17 / 55 ] 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: [ 18 / 55 ] 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: [ 19 / 55 ] 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: [ 20 / 55 ] 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: [ 21 / 55 ] 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: [ 22 / 55 ] 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: [ 23 / 55 ] 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: [ 24 / 55 ] 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: [ 25 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 55 ] 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: [ 27 / 55 ] 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: [ 28 / 55 ] 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: [ 29 / 55 ] 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: [ 30 / 55 ] 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: [ 31 / 55 ] 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: [ 32 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] 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: [ 35 / 55 ] 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: [ 36 / 55 ] 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: [ 37 / 55 ] 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: [ 38 / 55 ] 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: [ 39 / 55 ] 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: [ 40 / 55 ] 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: [ 41 / 55 ] 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: [ 42 / 55 ] 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: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (expm1 x)) * [exit]simplify: Simplified to (expm1 (expm1 x)) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (expm1 x)) * [exit]simplify: Simplified to (log (expm1 x)) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (expm1 x)) * [exit]simplify: Simplified to (exp (expm1 x)) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (expm1 x)) * [exit]simplify: Simplified to (cube (expm1 x)) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [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: [ 55 / 55 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* x 2)) (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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (* 2 x)) (expm1 x)) into (/ (expm1 (* 2 x)) (expm1 x)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) into (/ (expm1 (/ 2 x)) (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) into (/ (expm1 (/ -2 x)) (expm1 (/ -1 x))) * * * * [misc]progress: [ 2 / 4 ] 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: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* x 2)) (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 (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* x 2)) (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 (* 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 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (* 2 x)) (expm1 x))))) into 0 * [misc]backup-simplify: Simplify 0 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 (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 (+ (* 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 (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 (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (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 (* 2 (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 x) 2)) (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 (* 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 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ 2 x)) (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)) (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)) (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)) (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)) (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 (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (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 (* 2 (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (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 (* 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 (sqr 0) (+)) (* 2 (sqrt (/ (expm1 (/ -2 x)) (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)) (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)) (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)) (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)) (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: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (expm1 (* x 2)) (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* x 2)) (expm1 x))) into (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* x 2)) (expm1 x))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* x 2)) (expm1 x))) into (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* 2 x)) (expm1 x))) into (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* 2 x)) (expm1 x))) into (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) into (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* (/ 1 x) 2)) (expm1 (/ 1 x)))) into (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) into (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) into (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) in x * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (* (/ 1 (- x)) 2)) (expm1 (/ 1 (- x))))) into (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) into (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] 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 / 80 ] 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 / 80 ] 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 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* 2 x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 7 / 80 ] 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: [ 8 / 80 ] 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: [ 9 / 80 ] 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: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* 2 x)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (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)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (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)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (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 (expm1 (* 2 x)) * [exit]simplify: Simplified to (expm1 (* 2 x)) * [enter]simplify: Simplifying (cube (cbrt (/ 1 (expm1 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (/ (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)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (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 (expm1 (* 2 x)) * [exit]simplify: Simplified to (expm1 (* 2 x)) * [enter]simplify: Simplifying (cube (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (expm1 (* x 2)) (expm1 x))) (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqr (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqr (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] 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: [ 30 / 80 ] 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: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] 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: [ 33 / 80 ] 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: [ 34 / 80 ] 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: [ 35 / 80 ] 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: [ 36 / 80 ] 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: [ 37 / 80 ] 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: [ 38 / 80 ] 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: [ 39 / 80 ] 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: [ 40 / 80 ] 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: [ 41 / 80 ] 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: [ 42 / 80 ] 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: [ 43 / 80 ] 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: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] 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: [ 46 / 80 ] 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: [ 47 / 80 ] 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: [ 48 / 80 ] 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: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 51 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 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: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 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: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 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: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ 1 1)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (expm1 (* x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ 1 (expm1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (expm1 (* x 2)) (expm1 x))) (cbrt (/ (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 (fabs (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (expm1 (* x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (sqrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (sqrt (cube (cbrt (expm1 x)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cube (cbrt (/ (expm1 (* x 2)) (expm1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log1p (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (log (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (exp (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (cbrt (/ 1 (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ 1 (expm1 x))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (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)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (expm1 (* x 2)) (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (expm1 (* 2 x)) (expm1 x)))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) into (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) into (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) into (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) into (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x))))) into (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x))))) into (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) into (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) into (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x)))))) into (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x)))))) into (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) into (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) into (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* x 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* x 2))) into (cbrt (expm1 (* 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 x)) in x * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) into (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* x 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* x 2))) into (cbrt (expm1 (* 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 x)) in x * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) into (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) into (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 x))) (+ (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))) (* 0 (/ 0 (cbrt (expm1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) into (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 x) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 x) 2))) into (cbrt (expm1 (/ 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) into (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 x) 2))) (cbrt (expm1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 x) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 x) 2))) into (cbrt (expm1 (/ 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) into (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) into (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ 1 x)))) (+ (* (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) into (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 (- x)) 2))) into (cbrt (expm1 (/ -2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 (- x)))) into (cbrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) into (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (expm1 (* (/ 1 (- x)) 2))) (cbrt (expm1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 (- x)) 2))) into (cbrt (expm1 (/ -2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 (- x)))) into (cbrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) into (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) into (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (expm1 (/ -1 x)))) (+ (* (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))) (* 0 (/ 0 (cbrt (expm1 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) into (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 x)) in x * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 x)) in x * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 x)) into (cbrt (expm1 x)) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 x))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 x))) into (cbrt (expm1 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 (- x)))) into (cbrt (expm1 (/ -1 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 1 (- x)))) into (cbrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify (cbrt (expm1 (/ -1 x))) into (cbrt (expm1 (/ -1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 (/ -1 x))) into (cbrt (expm1 (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (* x 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* x 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* x 2))) into (cbrt (expm1 (* 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* x 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* x 2))) into (cbrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify (cbrt (expm1 (* 2 x))) into (cbrt (expm1 (* 2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 (* 2 x))) into (cbrt (expm1 (* 2 x))) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (* (/ 1 x) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 x) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 x) 2))) into (cbrt (expm1 (/ 2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 x) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 x) 2))) into (cbrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 2 x))) into (cbrt (expm1 (/ 2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 (/ 2 x))) into (cbrt (expm1 (/ 2 x))) * [misc]approximate: Taking taylor expansion of (cbrt (expm1 (* (/ 1 (- x)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 (- x)) 2))) into (cbrt (expm1 (/ -2 x))) * [misc]taylor: Taking taylor expansion of (cbrt (expm1 (* (/ 1 (- x)) 2))) in x * [misc]backup-simplify: Simplify (cbrt (expm1 (* (/ 1 (- x)) 2))) into (cbrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify (cbrt (expm1 (/ -2 x))) into (cbrt (expm1 (/ -2 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (expm1 (/ -2 x))) into (cbrt (expm1 (/ -2 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 (/ 1 x)))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 (/ -1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 (/ -1 x)))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* x 2)) (expm1 x))) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ 2 x))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 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 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ 2 x)) (expm1 x))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (/ -2 x))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 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 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (/ -2 x)) (expm1 x))) * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (expm1 (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log1p (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (log (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (exp (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (cube (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (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 (expm1 (* 2 x)) * [exit]simplify: Simplified to (expm1 (* 2 x)) * [enter]simplify: Simplifying (cube (/ 1 (cbrt (expm1 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * [exit]simplify: Simplified to (/ 1 (expm1 x)) * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (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 (expm1 (* 2 x)) * [exit]simplify: Simplified to (expm1 (* 2 x)) * [enter]simplify: Simplifying (cube (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))) (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x))) (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* 2 x)) (expm1 x))) * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (expm1 (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (log1p (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (expm1 (* x 2)))) (log (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (log (cbrt (expm1 (* 2 x)))) (log (cbrt (expm1 x)))) * [exit]simplify: Simplified to (- (log (cbrt (expm1 (* 2 x)))) (log (cbrt (expm1 x)))) * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (log (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (exp (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 37 / 76 ] 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: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (expm1 (* x 2))) (cbrt (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 (71 enodes) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * [exit]simplify: Simplified to (/ (expm1 (* 2 x)) (expm1 x)) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cbrt (expm1 (* x 2)))) (cbrt (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (expm1 (* 2 x)))) (cbrt (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (expm1 (* 2 x)))) (cbrt (cbrt (expm1 x)))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (expm1 (* x 2))) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (expm1 (* 2 x))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (expm1 (* x 2)))) (sqrt (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (expm1 (* 2 x)))) (sqrt (cbrt (expm1 x)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (expm1 (* 2 x)))) (sqrt (cbrt (expm1 x)))) * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (- (cbrt (expm1 (* 2 x)))) * [enter]simplify: Simplifying (- (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (cbrt (expm1 x))) * [exit]simplify: Simplified to (- (cbrt (expm1 x))) * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (cbrt 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 (/ (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: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [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: [ 46 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [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: [ 47 / 76 ] 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 (/ (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: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (expm1 x))) * [exit]simplify: Simplified to (/ 1 (cbrt (expm1 x))) * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* x 2))) (cbrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt 1)) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) (cbrt 1)) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* x 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) 1) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* 2 x))) 1) * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (expm1 (* x 2)))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (expm1 x))) * [exit]simplify: Simplified to (expm1 (cbrt (expm1 x))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (cbrt (expm1 x))) * [exit]simplify: Simplified to (log1p (cbrt (expm1 x))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (cbrt (expm1 x))) * [exit]simplify: Simplified to (log (cbrt (expm1 x))) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (cbrt (expm1 x))) * [exit]simplify: Simplified to (exp (cbrt (expm1 x))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [exit]simplify: Simplified to (cbrt (expm1 x)) * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (expm1 x))) * [exit]simplify: Simplified to (cbrt (cbrt (expm1 x))) * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (expm1 x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 x))) * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (expm1 (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (log1p (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (log (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (exp (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (expm1 (* x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * [exit]simplify: Simplified to (cbrt (expm1 (* 2 x))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (cbrt (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (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 (expm1 (* 2 x)) * [exit]simplify: Simplified to (expm1 (* 2 x)) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* 2 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* 2 x)))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [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)) * [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))) * [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 (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)))