* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp x) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp x) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ 0 1)) (* 1 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 x)) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ 1 x))) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (exp (/ 1 (- x))) 1) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 (- x))) 1) 1) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (+ 1 (exp (/ -1 x))) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (exp (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log1p (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (exp (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (+ (exp x) 1) 1))) (cbrt (sqrt (/ (+ (exp x) 1) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (+ (exp x) 1) 1)) (sqrt (/ (+ (exp x) 1) 1))) (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (+ (exp x) 1) 1)) (cbrt (/ (+ (exp x) 1) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (fabs (cbrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 11 / 37 ] 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 (/ (+ (exp x) 1) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * [exit]simplify: Simplified to (sqrt (/ (+ (exp x) 1) 1)) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [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) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (+ (exp x) 1) 1))) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* 1/2 (pow x 2)) (+ 2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (* x x) 1/2 (+ x 2)) 1)) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ 1 (exp x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 (exp x)) 1)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (/ (+ (exp x) 1) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (+ (exp x) 1) 1) * [exit]simplify: Simplified to (/ (+ (exp x) 1) 1)