* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 x)))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 4) 24)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2/3 2)) (* 1 (/ -4/3 2)) (* 0 (/ 2 2)) (* -1/3 (/ -2 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 5) 120)) (* (/ (pow -2 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 2) 2)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/15 * [misc]backup-simplify: Simplify (+ 0 -4/15) into -4/15 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/15 2)) (* 1 (/ 2/3 2)) (* 0 (/ -4/3 2)) (* -1/3 (/ 2 2)) (* 0 (/ -2 2)))) into 2/15 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2/15 0) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* -1/3 (pow x 3)) (* 1 x))) into (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (/ 2 (+ (exp (/ -2 x)) 1)) -1) into (- (* 2 (/ 1 (+ (exp (/ -2 x)) 1))) 1) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (+ (exp (/ -2 x)) 1))) 1) into (- (* 2 (/ 1 (+ (exp (/ -2 x)) 1))) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) 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 (- (* 2 (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) 1) into (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) * [misc]approximate: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (/ 2 (+ (exp (/ 2 x)) 1)) -1) into (- (* 2 (/ 1 (+ (exp (/ 2 x)) 1))) 1) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (+ (exp (/ 2 x)) 1))) 1) into (- (* 2 (/ 1 (+ (exp (/ 2 x)) 1))) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) 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 (- (* 2 (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1))) 1) into (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow x 3)) (+ (* 1 x) 1)) into (- (+ x 1) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 (/ 1 x))) 1)) into (/ 2 (+ (exp (* -2 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 (/ 1 (- x)))) 1)) into (/ 2 (+ (exp (* -2 x)) 1)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (* -2 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 2)) into (- (+ (* 2 (pow x 2)) 2) (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -2 x)) 1) into (+ (exp (/ -2 x)) 1) * [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 (+ (exp (/ -2 (/ 1 x))) 1) into (+ (exp (* -2 x)) 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 2 x)) 1) into (+ (exp (/ 2 x)) 1) * [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 (+ (exp (/ 2 (/ 1 (- x)))) 1) into (+ (exp (* -2 x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (exp (* -2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ (/ 2 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (cbrt (+ 1 (exp (* x -2))))) 1)) * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* -2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* x -2))))) 1)) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp (* -2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x -2))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ (/ 2 1) (+ 1 (exp (* x -2)))) 1)) * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (+ 1 (- (exp (* x -4)) (exp (* -2 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (* (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ 1 (- (exp (* x -4)) (exp (* -2 x))))) 1)) * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (* -2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (exp (* x -2))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (* (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* x -2)))) 1)) * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x)) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * [misc]simplify: Simplified (2) to (λ (x y) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * [misc]simplify: Simplified (2) to (λ (x y) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x 1) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (+ 1 x) (* (* x -1/3) (* x x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (+ 1 x) (* (* x -1/3) (* x x))) 1)) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (/ 2 (+ 1 (exp (* x -2)))) 1)) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (/ 2 (+ 1 (exp (* x -2)))) 1)) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 2) (* 2 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* 2 (- (* x x) (- x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ 2 (* 2 (- (* x x) (- x 1)))) 1)) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* -2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* -2 x)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ 2 (+ (exp (* -2 x)) 1)) 1)) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* -2 x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* -2 x)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (/ 2 (+ (exp (* -2 x)) 1)) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow x 3) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2/15 1) into 2/15 * [misc]backup-simplify: Simplify (+ 0 2/15) into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2/15 0) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* -1/3 (pow x 3)) (* 1 x))) into (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (- (+ (/ 1 x) (* 2/15 (pow (/ 1 x) 5))) (* 1/3 (pow (/ 1 x) 3))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) (* 2/15 (pow (/ 1 x) 5))) (* 1/3 (pow (/ 1 x) 3))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 2/15 (pow (/ 1 x) 5))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) (* 2/15 (pow (/ 1 x) 5))) (* 1/3 (pow (/ 1 x) 3))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 2/15 (pow (/ 1 x) 5))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2/15 1) into 2/15 * [misc]backup-simplify: Simplify (+ 0 2/15) into 2/15 * [misc]backup-simplify: Simplify (+ 2/15 0) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 x))) (+ (* -1/3 (pow (/ 1 (/ 1 x)) 3)) (* 2/15 (pow (/ 1 (/ 1 x)) 5)))) into (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (- (+ (/ 1 (- x)) (* 2/15 (pow (/ 1 (- x)) 5))) (* 1/3 (pow (/ 1 (- x)) 3))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- x)) (* 2/15 (pow (/ 1 (- x)) 5))) (* 1/3 (pow (/ 1 (- x)) 3))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 2/15 (pow (/ 1 (- x)) 5))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 (- x)) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (- x)) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- x)) (* 2/15 (pow (/ 1 (- x)) 5))) (* 1/3 (pow (/ 1 (- x)) 3))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 2/15 (pow (/ 1 (- x)) 5))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 (- x)) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (- x)) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 3) 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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 2/15 -1) into -2/15 * [misc]backup-simplify: Simplify (+ 0 -2/15) into -2/15 * [misc]backup-simplify: Simplify (+ -2/15 0) into -2/15 * [misc]backup-simplify: Simplify -2/15 into -2/15 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (+ (* 1/3 (pow (/ 1 (/ 1 (- x))) 3)) (* -2/15 (pow (/ 1 (/ 1 (- x))) 5)))) into (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow x 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow x 3)) into (* 1/3 (pow x 3)) * [misc]approximate: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 x) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 3) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (/ 1 x)) 3)) into (* 1/3 (pow x 3)) * [misc]approximate: Taking taylor expansion of (* 1/3 (pow (/ 1 (- x)) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (- x)) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ 1 (- x)) 3)) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 3) 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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (/ 1 (- x))) 3)) into (* 1/3 (pow x 3)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* 2/15 (pow x 5)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow x 5) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2/15 1) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2/15 (pow x 5)) into (* 2/15 (pow x 5)) * [misc]approximate: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 5) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2/15 1) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2/15 (pow (/ 1 (/ 1 x)) 5)) into (* 2/15 (pow x 5)) * [misc]approximate: Taking taylor expansion of (* 2/15 (pow (/ 1 (- x)) 5)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 (- x)) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 5) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2/15 (pow (/ 1 (- x)) 5)) in x * [misc]taylor: Taking taylor expansion of 2/15 in x * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 5) 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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 2/15 -1) into -2/15 * [misc]backup-simplify: Simplify -2/15 into -2/15 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/15 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2/15 (pow (/ 1 (/ 1 (- x))) 5)) into (* 2/15 (pow x 5)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ x (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (pow (exp -1/3) (pow x 3)) (* (pow (exp 2/15) (pow x 5)) (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (* (pow (exp -1/3) (pow x 3)) (* (pow (exp 2/15) (pow x 5)) (exp x))))) * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow x 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to x * [misc]simplify: Simplified (2 2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) x))) * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 x) (* x x)))) * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow x 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow x 3)) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 (sqrt (pow x 3))) (sqrt (pow x 3))))) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow x 3) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 1) (pow x 3)))) * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow x 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow x 5)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x y) (- (+ x (* (* 2/15 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (cbrt (pow x 5)))) (* 1/3 (pow x 3)))) * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow x 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow x 5)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x y) (- (+ x (* (* 2/15 (sqrt (pow x 5))) (sqrt (pow x 5)))) (* 1/3 (pow x 3)))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (pow x 5) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow x 5) * [misc]simplify: Simplified (2 1 2 2) to (λ (x y) (- (+ x (* (* 2/15 1) (pow x 5))) (* 1/3 (pow x 3)))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x)) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x)) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x)) * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (pow x 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* 1/3 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 x) (* x x)))) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (pow x 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* 1/3 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 x) (* x x)))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (pow x 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* 1/3 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (- (+ x (* 2/15 (pow x 5))) (* (* 1/3 x) (* x x)))) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2/15 (pow x 5)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (pow x 5) 2/15) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ x (* (pow x 5) 2/15)) (* 1/3 (pow x 3)))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2/15 (pow x 5)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (pow x 5) 2/15) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ x (* (pow x 5) 2/15)) (* 1/3 (pow x 3)))) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2/15 (pow x 5)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (pow x 5) 2/15) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ x (* (pow x 5) 2/15)) (* 1/3 (pow x 3)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into -5/48 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -5/48 0) into -5/48 * [misc]backup-simplify: Simplify -5/48 into -5/48 * [misc]backup-simplify: Simplify (+ (* -5/48 (pow x 3)) (+ (* -1/8 (pow x 2)) (* 1/2 x))) into (- (* 1/2 x) (+ (* 5/48 (pow x 3)) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) -1) into (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [misc]backup-simplify: Simplify (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) into (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (- (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) 1) into (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) -1) into (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [misc]backup-simplify: Simplify (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) into (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) 1) into (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 1/2 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 1/2 1/2) (* -1/8 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into -5/48 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -5/48 0) into -5/48 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into -5/48 * [misc]backup-simplify: Simplify (+ -5/48 0) into -5/48 * [misc]backup-simplify: Simplify (+ (* 2 -5/48) (+ (* 1/2 -1/8) (+ (* -1/8 1/2) (* -5/48 0)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 4) 24)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2/3 2)) (* 1 (/ -4/3 2)) (* 0 (/ 2 2)) (* -1/3 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 1/2 -5/48)))) (* 2 1)) into 17/384 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 17/384 0) into 17/384 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 4) 24)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 2/3 * [misc]backup-simplify: Simplify (+ 0 2/3) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2/3 2)) (* 1 (/ -4/3 2)) (* 0 (/ 2 2)) (* -1/3 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 1/2 -5/48)))) (* 2 1)) into 17/384 * [misc]backup-simplify: Simplify (+ 17/384 0) into 17/384 * [misc]backup-simplify: Simplify (+ (* 2 17/384) (+ (* 1/2 -5/48) (+ (* -1/8 -1/8) (+ (* -5/48 1/2) (* 17/384 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 5) 120)) (* (/ (pow -2 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 2) 2)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/15 * [misc]backup-simplify: Simplify (+ 0 -4/15) into -4/15 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/15 2)) (* 1 (/ 2/3 2)) (* 0 (/ -4/3 2)) (* -1/3 (/ 2 2)) (* 0 (/ -2 2)))) into 2/15 * [misc]backup-simplify: Simplify (/ (- 2/15 (+ (* 2 (* 1/2 17/384)) (* 2 (* -1/8 -5/48)))) (* 2 1)) into 121/3840 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 121/3840 0) into 121/3840 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 5) 120)) (* (/ (pow -2 3) 6) (/ (pow 0 1) 1)) (* (/ (pow -2 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -2 1) 1) (/ (pow 0 2) 2)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/15 * [misc]backup-simplify: Simplify (+ 0 -4/15) into -4/15 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/15 2)) (* 1 (/ 2/3 2)) (* 0 (/ -4/3 2)) (* -1/3 (/ 2 2)) (* 0 (/ -2 2)))) into 2/15 * [misc]backup-simplify: Simplify (/ (- 2/15 (+ (* 2 (* 1/2 17/384)) (* 2 (* -1/8 -5/48)))) (* 2 1)) into 121/3840 * [misc]backup-simplify: Simplify (+ 121/3840 0) into 121/3840 * [misc]backup-simplify: Simplify (+ (* 2 121/3840) (+ (* 1/2 17/384) (+ (* -1/8 -5/48) (+ (* -5/48 -1/8) (+ (* 17/384 1/2) (* 121/3840 0)))))) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow x 5)) (+ (* -1/3 (pow x 3)) (* 1 x))) into (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) into (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) -1) into (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [misc]backup-simplify: Simplify (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)) into (* (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)) * [misc]backup-simplify: Simplify (* (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)) into (* (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (+ (* 0 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) 1)) into (* (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1)) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) into (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) -1) into (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [misc]backup-simplify: Simplify (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)) into (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)) * [misc]backup-simplify: Simplify (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)) into (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (+ (* 0 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) 1)) into (* (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 2)) into (- (+ (* 1/2 x) 2) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ -2 x)) 1))) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) into (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) into (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 1) * [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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) 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 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) 1) into (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 2 (+ 1 (exp (* -2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 2 (+ (exp (/ 2 x)) 1))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 2 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) into (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) into (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 1) * [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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) 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 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) 1) into (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 x)) in x * [misc]taylor: Taking taylor expansion of (* -2 x) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -2 2)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 2 2)) (* 1 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ -4/3 2)) (* 1 (/ 2 2)) (* 0 (/ -2 2)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow x 3)) (+ (* 1 x) 1)) into (- (+ x 1) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 1) into -2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 x))) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 x)) 1)) into (/ 2 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -2 x)) 1)) (+ (* (/ 2 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -2 (/ 1 x))) 1)) into (/ 2 (+ (exp (* -2 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 2 (+ 1 (exp (* -2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [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 (* -2 -1) into 2 * [misc]backup-simplify: Simplify (exp (* -2 (/ 1 (- x)))) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 x)) 1)) into (/ 2 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 2 x)) 1)) (+ (* (/ 2 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 2 (/ 1 (- x)))) 1)) into (/ 2 (+ (exp (* -2 x)) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (* (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (* (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (+ (/ 2 (+ 1 (exp (* -2 x)))) -1) * [misc]simplify: Simplified (2 1) to (λ (x y) (pow (+ (/ 2 (+ 1 (exp (* -2 x)))) -1) 1)) * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (log (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (log (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (exp (+ (log (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (log (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (* (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (* (pow (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) 3) (pow (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 3)) * [misc]simplify: Simplified (2 1) to (λ (x y) (cbrt (* (pow (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) 3) (pow (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 3)))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3)) (- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (* (- (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) (+ 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (- (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) (+ 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) (* (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))))) * [enter]simplify: Simplifying (* (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (- (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (+ (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3)) (- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3))) (* (- (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1))))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3)) (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) (* (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * [enter]simplify: Simplifying (* (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x))))))))) * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1)) (- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)) (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))))) * [enter]simplify: Simplifying (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (+ 1 (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (* (/ 2 (+ 1 (exp (* -2 x)))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)) (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (+ 1 (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x))))))))) * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1)) (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * [enter]simplify: Simplifying (* (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (- (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))))) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- -1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (- -1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- -1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (- -1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (* (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) (cbrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (sqrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) (sqrt (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) 1) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)) (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (+ (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1)) (- (sqrt (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) 1))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (cbrt (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) (cbrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) (cbrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) (* (cbrt (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x))))))) (* (sqrt (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (+ (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3))) (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1)))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1))) (+ 1 (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 3) (pow 1 3)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (- (* (+ (/ -2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (* (+ (/ -2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- 1 (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))))) (+ (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (* 1 1) (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (* 1 1)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (473 enodes) * [exit]simplify: Simplified to (- (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (* (- (/ 2 (+ 1 (exp (* -2 x)))) 1) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (exp (* -2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ (/ 2 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (cbrt (+ 1 (exp (* x -2)))))) 1))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* -2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* x -2)))))) 1))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp (* -2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x -2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ (/ 2 1) (+ 1 (exp (* x -2))))) 1))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (+ 1 (- (exp (* x -4)) (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (* (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ 1 (- (exp (* x -4)) (exp (* -2 x)))))) 1))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (* -2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (exp (* x -2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (* (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* x -2))))) 1))) * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 x) (+ (* 5/48 (pow x 3)) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (- (* (* x x) (- (* x -5/48) 1/8)) (* x -1/2)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (* (* x x) (- (* x -5/48) 1/8)) (* x -1/2)))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) 1))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) 1))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (* (pow x 5) 2/15) (* (* x -1/3) (* x x))) x)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (+ (* (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) -1) * [misc]simplify: Simplified (2) to (λ (x y) (+ (* (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) -1)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) * [misc]simplify: Simplified (2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) 2) (* 1/8 (pow x 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (* (* -1/8 x) x) (+ 2 (* 1/2 x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (+ (* (* -1/8 x) x) (+ 2 (* 1/2 x))) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (+ 1 (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (+ 1 (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (+ 1 (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (+ 1 (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))) (- (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x 1) (* 1/3 (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (+ (+ 1 x) (* (* x -1/3) (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (+ (+ 1 x) (* (* x -1/3) (* x x)))) 1))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* x -2))))) 1))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* x -2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1) (- (sqrt (/ 2 (+ 1 (exp (* x -2))))) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt 1/2)) (* (sqrt 2) (sqrt 1/2))) into (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (+ -1 (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2))) into (- (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) 1) * [misc]backup-simplify: Simplify (- (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) 1) into (- (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (pow (sqrt 2) 2))) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))))) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (* (sqrt 2) (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -4/3 2)) (* 1/2 (/ 2 2)) (* 0 (/ -2 2)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* (/ 1/4 (sqrt 1/2)) (/ -1/32 (pow (sqrt 1/2) 3)))))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) 0) (* (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) (sqrt 2))))) into (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -4/3 2)) (* 1/2 (/ 2 2)) (* 0 (/ -2 2)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* (/ 1/4 (sqrt 1/2)) (/ -1/32 (pow (sqrt 1/2) 3)))))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) 0) (* (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) (sqrt 2))))) into (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2))))) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))))) (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) (* (sqrt 2) (sqrt 1/2)))))) into (- (* 1/6 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (pow (sqrt 2) 2)))) into (- (* 1/6 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow (sqrt 2) 2))) into (- (* 1/6 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 (pow (sqrt 2) 2))) (pow x 3)) (+ (* (* 1/2 (pow (sqrt 2) 2)) x) (- (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) 1))) into (- (+ (* 1/2 (* (pow (sqrt 2) 2) x)) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2))) (+ (* 1/6 (* (pow (sqrt 2) 2) (pow x 3))) 1)) * [misc]approximate: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))) into (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (+ -1 (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1))) into (- (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) 1) * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) 1) into (- (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) (+ (exp (/ -2 (/ 1 x))) 1)) 1) into (- (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) 1) * [misc]approximate: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)))) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (+ -1 (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1))) into (- (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) 1) * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) 1) into (- (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) (+ (exp (/ 2 (/ 1 (- x)))) 1)) 1) into (- (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (* 1/4 (/ (sqrt 2) (sqrt 1/2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 2)) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) x) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* 1/4 (/ (* (sqrt 2) x) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2))) (* 1/32 (/ (* (sqrt 2) (pow x 2)) (pow (sqrt 1/2) 3)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) into (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (* 1/4 (/ (sqrt 2) (sqrt 1/2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (pow x 2)) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) x) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* 1/4 (/ (* (sqrt 2) x) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2))) (* 1/32 (/ (* (sqrt 2) (pow x 2)) (pow (sqrt 1/2) 3)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 (/ 1 x))) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 (/ 1 (- x)))) 1)))) into (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* x -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* x -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* x -2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* x -2)) in x * [misc]taylor: Taking taylor expansion of (* x -2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -2 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt 1/2)) (* (sqrt 2) (sqrt 1/2))) into (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* (/ 1/4 (sqrt 1/2)) (sqrt 2))) into (* 1/4 (/ (sqrt 2) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 1) 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 2 2)) (* 1/2 (/ -2 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (* (/ -1/32 (pow (sqrt 1/2) 3)) (sqrt 2)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))))) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (* (sqrt 2) (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -4/3 2)) (* 1/2 (/ 2 2)) (* 0 (/ -2 2)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* (/ 1/4 (sqrt 1/2)) (/ -1/32 (pow (sqrt 1/2) 3)))))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) 0) (* (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) (sqrt 2))))) into (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 3) 6)) (* (/ (pow -2 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -4/3 * [misc]backup-simplify: Simplify (+ 0 -4/3) into -4/3 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ -4/3 2)) (* 1/2 (/ 2 2)) (* 0 (/ -2 2)))) into -1/6 * [misc]backup-simplify: Simplify (/ (- -1/6 (+ (* 2 (* (/ 1/4 (sqrt 1/2)) (/ -1/32 (pow (sqrt 1/2) 3)))))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* (/ 1/4 (sqrt 1/2)) 0) (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) 0) (* (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/6) (sqrt 1/2))) (sqrt 2))))) into (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt 1/2)) (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2))))) (+ (* (* 1/4 (/ (sqrt 2) (sqrt 1/2))) (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3))))) (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ (sqrt 2) (sqrt 1/2)))) (* (- (* 1/128 (/ (sqrt 2) (pow (sqrt 1/2) 5))) (* 1/12 (/ (sqrt 2) (sqrt 1/2)))) (* (sqrt 2) (sqrt 1/2)))))) into (- (* 1/6 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow (sqrt 2) 2))) into (- (* 1/6 (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 (pow (sqrt 2) 2))) (pow x 3)) (+ (* (* 1/2 (pow (sqrt 2) 2)) x) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2)))) into (- (+ (* 1/2 (* (pow (sqrt 2) 2) x)) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2))) (* 1/6 (* (pow (sqrt 2) 2) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 x) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 x) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 x) -2))) in 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) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (exp (* (/ 1 x) -2)) into (exp (/ -2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -2 x))) into (+ (exp (/ -2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ -2 x)) 1)) into (/ 1 (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) into (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))) into (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) into (/ (pow (sqrt 2) 2) (+ (exp (/ -2 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ -2 x)) 1)) (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))) (* 0 (/ 0 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ -2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (exp (/ -2 x)) 1))) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ -2 (/ 1 x))) 1)) into (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) * [misc]approximate: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) (sqrt 2)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (exp (* (/ 1 (- x)) -2)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* (/ 1 (- x)) -2))) in 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)) -2)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) -2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) -2)) into (exp (/ 2 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 2 x))) into (+ (exp (/ 2 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (/ 2 x)) 1)) into (/ 1 (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) into (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) (sqrt 2)) into (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) into (/ (pow (sqrt 2) 2) (+ (exp (/ 2 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (/ 2 x)) 1)) (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))) (* 0 (/ 0 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (exp (/ 2 x)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt (/ 1 (+ (exp (/ 2 x)) 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) (+ (exp (/ 2 (/ 1 (- x)))) 1)) into (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ 1 (exp (* x -2)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (pow (/ 2 (+ 1 (exp (* -2 x)))) 1/2)))) * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) 1)))) * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (exp (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))))))) * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (/ 2 (/ (+ 1 (exp (* -2 x))) (sqrt 2))) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (cbrt (* (/ 2 (/ (+ 1 (exp (* -2 x))) (sqrt 2))) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))))))) * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ 1 (exp (* x -2)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (sqrt (/ 2 (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (sqrt 2))) (sqrt (sqrt 2)))))) * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) 1) (sqrt 2))))) * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (* (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (* (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2)))))) * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 (+ 1 (exp (* x -2))))) (cbrt (/ 1 (+ 1 (exp (* x -2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (fabs (cbrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (cbrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2)))))) * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2)))))) * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* 1 (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))))) * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* 1 (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))))) * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (pow 1 3) (pow (exp (* x -2)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (exp (* x -6))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -6))))) (* (sqrt (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2)))))) (sqrt 2)))))) * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (* 1 1) (* (exp (* x -2)) (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- 1 (exp (* x -4))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (- 1 (exp (* x -4))))) (* (sqrt (- 1 (exp (* x -2)))) (sqrt 2)))))) * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2)))))) * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (/ (sqrt 2) (sqrt (+ 1 (exp (* x -2)))))))) * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ 1 (exp (* x -2)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (pow (/ 2 (+ 1 (exp (* -2 x)))) 1/2) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) 1) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (exp (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2)))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (/ 2 (/ (+ 1 (exp (* -2 x))) (sqrt 2))) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (cbrt (* (/ 2 (/ (+ 1 (exp (* -2 x))) (sqrt 2))) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ 1 (exp (* x -2)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (sqrt (/ 2 (+ 1 (exp (* -2 x))))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (+ -1 (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (+ -1 (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (+ -1 (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) 1) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (* (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (cbrt (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (* (cbrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 (+ 1 (exp (* x -2))))) (cbrt (/ 1 (+ 1 (exp (* x -2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (fabs (cbrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (cbrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* 1 (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* 1 (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ (pow 1 3) (pow (exp (* x -2)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (exp (* x -6))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -6))))) (* (sqrt (+ (* 1 1) (- (* (exp (* x -2)) (exp (* x -2))) (* 1 (exp (* x -2)))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (* 1 1) (* (exp (* x -2)) (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- 1 (exp (* x -4))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (- 1 (exp (* x -4))))) (* (sqrt (- 1 (exp (* x -2)))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (* (sqrt (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (* (sqrt (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ -1 (* (/ (sqrt 2) (sqrt (+ 1 (exp (* x -2))))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ 1 (exp (* x -2)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) (+ 1/2 1/2)))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (pow (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) 2))) * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (pow (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) 2))) * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (pow (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) 2))) * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (pow (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) 2))) * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ 1 (exp (* x -2)))) 2) (* (/ 1 (+ 1 (exp (* x -2)))) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ 4 (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 4 (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))) 1/2))) * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (/ 2 (+ 1 (exp (* -2 x)))) 1))) * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (pow (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (+ 1 1)))) * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2))) (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))) (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (exp (+ (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))) (+ (log (sqrt (/ 1 (+ 1 (exp (* -2 x)))))) (log (sqrt 2))))))) * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2))) (log (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (+ (log (* (sqrt (/ 1 (+ 1 (exp (* -2 x))))) (sqrt 2))) (log (* (sqrt (/ 1 (+ 1 (exp (* -2 x))))) (sqrt 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (exp (+ (log (* (sqrt (/ 1 (+ 1 (exp (* -2 x))))) (sqrt 2))) (log (* (sqrt (/ 1 (+ 1 (exp (* -2 x))))) (sqrt 2))))))) * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (+ (log (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (log (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (+ (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (exp (+ (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))))))) * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (log (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (exp (+ (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))) (log (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* -2 x))))))))))) * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* 8 1) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (cbrt (/ (/ (/ (* 8 1) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x))))))) * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (+ 1 (exp (* -2 x)))) (/ (* 1 (* (sqrt 2) 2)) (+ 1 (exp (* -2 x))))) (/ (* 1 (* (sqrt 2) 2)) (+ 1 (exp (* -2 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (cbrt (* (* (/ 1 (+ 1 (exp (* -2 x)))) (/ (* 1 (* (sqrt 2) 2)) (+ 1 (exp (* -2 x))))) (/ (* 1 (* (sqrt 2) 2)) (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (* (* (* (sqrt 2) 2) (/ 2 (+ 1 (exp (* -2 x))))) (* (/ (* (sqrt 2) 1) (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* -2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (cbrt (* (* (* (sqrt 2) 2) (/ 2 (+ 1 (exp (* -2 x))))) (* (/ (* (sqrt 2) 1) (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* -2 x))))))))) * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ 1 (exp (* -2 x)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (cbrt (pow (/ 2 (+ 1 (exp (* -2 x)))) 3)))) * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ 1 (exp (* x -2)))) 2) (* (/ 1 (+ 1 (exp (* x -2)))) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ 4 (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (sqrt (/ 4 (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))))))) * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (exp (* x -2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (* (/ 1 (+ 1 (exp (* -2 x)))) 2))) * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 1) (sqrt 2)) (* (sqrt 1) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (/ (* (sqrt 2) (sqrt 2)) (* (sqrt (+ 1 (exp (* x -2)))) (sqrt (+ 1 (exp (* x -2)))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (exp (* x -2)))) (sqrt (+ 1 (exp (* x -2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* -2 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (/ (* (sqrt 2) (sqrt 2)) (+ 1 (exp (* -2 x)))))) * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (* (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt 2)))) * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 (exp (* x -2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (exp (* -2 x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (* (sqrt (/ 1 (+ 1 (exp (* -2 x))))) (* (sqrt 2) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)))))) * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* x -2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (/ (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt 1) (sqrt 2))) (sqrt (+ 1 (exp (* -2 x))))))) * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 1) (sqrt 2)) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* 2 (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (/ (* 2 (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (sqrt (+ 1 (exp (* x -2))))))) * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow (sqrt 2) 2) x)) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2))) (+ (* 1/6 (* (pow (sqrt 2) 2) (pow x 3))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (+ x (* (* x x) (* x -1/3))) * [misc]simplify: Simplified (2) to (λ (x y) (+ x (* (* x x) (* x -1/3)))) * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * [misc]simplify: Simplified (2) to (λ (x y) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (/ 2 (+ 1 (exp (* -2 x)))) 1) * [misc]simplify: Simplified (2) to (λ (x y) (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (* (sqrt 2) x) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2))) (* 1/32 (/ (* (sqrt 2) (pow x 2)) (pow (sqrt 1/2) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (+ (* (sqrt 1/2) (sqrt 2)) (* (* x (/ (sqrt 2) (sqrt 1/2))) (- 1/4 (* 1/16 x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (+ (* (sqrt 1/2) (sqrt 2)) (* (* x (/ (sqrt 2) (sqrt 1/2))) (- 1/4 (* 1/16 x))))))) * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))))) * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (+ -1 (* (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2)) (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2))))))))) * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (* (sqrt 2) x) (sqrt 1/2))) (* (sqrt 2) (sqrt 1/2))) (* 1/32 (/ (* (sqrt 2) (pow x 2)) (pow (sqrt 1/2) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (+ (* (sqrt 1/2) (sqrt 2)) (* (* x (/ (sqrt 2) (sqrt 1/2))) (- 1/4 (* 1/16 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (* (+ (* (sqrt 1/2) (sqrt 2)) (* (* x (/ (sqrt 2) (sqrt 1/2))) (- 1/4 (* 1/16 x)))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (* (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (exp (* -2 x)) 1))) (sqrt 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ -1 (* (* (sqrt 2) (sqrt (/ 1 (+ 1 (exp (* x -2)))))) (* (sqrt (/ 1 (+ 1 (exp (* x -2))))) (sqrt 2))))) * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow (sqrt 2) 2) x)) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 2))) (* 1/6 (* (pow (sqrt 2) 2) (pow x 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (+ (+ x 1) (* (* x -1/3) (* x x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ -1 (+ (+ x 1) (* (* x -1/3) (* x x))))) * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ -1 (/ 2 (+ 1 (exp (* -2 x)))))) * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt 2) 2) (+ (exp (* -2 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 2 (+ 1 (exp (* -2 x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ -1 (/ 2 (+ 1 (exp (* -2 x)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 5 branch expressions: (x (* -2 x) (exp (* -2 x)) (+ 1 (exp (* -2 x))) (/ 2 (+ 1 (exp (* -2 x))))) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * * [misc]regimes: Trying to branch on (* -2 x) from (# # #) * * * * [misc]regimes: Trying to branch on (exp (* -2 x)) from (# # #) * * * * [misc]regimes: Trying to branch on (+ 1 (exp (* -2 x))) from (# # #) * * * * [misc]regimes: Trying to branch on (/ 2 (+ 1 (exp (* -2 x)))) from (# # #) * * * [misc]regime: Found split indices: #