* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [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 (+ (/ 1 (- x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- 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 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ x (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 3)) (+ (* -1 (pow x 2)) (* 1 x))) into (- (+ (pow x 3) x) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x 1)) (/ x (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x 1)) (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x 1)) (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow x 4)) (+ (* -2 (pow x 2)) -1)) into (- (+ 1 (+ (* 2 (pow x 2)) (* 2 (pow x 4))))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- (/ 1 x) 1)) (/ (/ 1 x) (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- (/ 1 x) 1)) (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- (/ 1 x) 1)) (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ -1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 x) 4)) (+ (* 2 (pow (/ 1 x) 2)) 1)) into (+ 1 (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- (/ 1 (- x)) 1)) (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- (/ 1 (- x)) 1)) (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- (/ 1 (- x)) 1)) (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1 -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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 1 -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ 0 -1)) (* -1 (/ -1 -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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 (- x)) 4)) (+ (* 2 (pow (/ 1 (- x)) 2)) 1)) into (+ 1 (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 2)) (+ (* -1 x) -1)) into (- (+ (pow x 2) (+ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* 1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (+ (/ 1 (pow x 3)) (+ (/ 1 x) (/ 1 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [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)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1 -1)))) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* 1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (+ (/ 1 (pow x 3)) (+ (/ 1 x) (/ 1 (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log x) (log1p x)) * [exit]simplify: Simplified to (- (log x) (log1p x)) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ x (+ x 1))) (cbrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * [enter]simplify: Simplifying (- (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 x)) * [exit]simplify: Simplified to (- (+ 1 x)) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) x) * [exit]simplify: Simplified to (/ (+ 1 x) x) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [exit]simplify: Simplified to (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ x (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ x (sqrt (+ 1 x))) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (fma (* x x) x 1)) * [exit]simplify: Simplified to (/ x (fma (* x x) x 1)) * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ x (- (* x x) 1)) * [exit]simplify: Simplified to (/ x (- (* x x) 1)) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (expm1 (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (expm1 (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (log1p (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (log1p (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 (- x 1))) (exp (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (log (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (log (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (exp (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1))))) * [exit]simplify: Simplified to (* (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1))))) * [enter]simplify: Simplifying (cbrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (cbrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 (- x 1)) (/ x (+ x 1))) 3) * [exit]simplify: Simplified to (pow (+ (/ 1 (- x 1)) (/ x (+ x 1))) 3) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (sqrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (sqrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [enter]simplify: Simplifying (sqrt (+ (/ 1 (- x 1)) (/ x (+ x 1)))) * * [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 (sqrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * [exit]simplify: Simplified to (sqrt (+ (/ x (+ x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 (+ x 1)) (* (- x 1) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (fma x x 1) * [exit]simplify: Simplified to (fma x x 1) * [enter]simplify: Simplifying (* (- x 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (- x 1) x (- x 1)) * [exit]simplify: Simplified to (fma (- x 1) x (- x 1)) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (/ x (+ x 1)) (* (/ x (+ x 1)) (/ x (+ x 1))) (/ (/ 1 (- x 1)) (* (- x 1) (- x 1)))) * [exit]simplify: Simplified to (fma (/ x (+ x 1)) (* (/ x (+ x 1)) (/ x (+ x 1))) (/ (/ 1 (- x 1)) (* (- x 1) (- x 1)))) * [enter]simplify: Simplifying (+ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ 1 (- x 1)) (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (fma (- (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) (* (/ x (+ x 1)) (/ x (+ x 1)))) * [exit]simplify: Simplified to (fma (- (/ 1 (- x 1)) (/ x (+ x 1))) (/ 1 (- x 1)) (* (/ x (+ x 1)) (/ x (+ x 1)))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 1 (- x 1)) (/ x (+ x 1)))) * [exit]simplify: Simplified to (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (- (/ 1 (- x 1)) (/ x (+ x 1)))) * [enter]simplify: Simplifying (- (/ 1 (- x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (/ 1 (- x 1)) (/ x (+ x 1))) * [exit]simplify: Simplified to (- (/ 1 (- x 1)) (/ x (+ x 1))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- x 1))) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- x 1))) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- x 1))) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- x 1))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (- x 1))) * [exit]simplify: Simplified to (expm1 (/ 1 (- x 1))) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (- x 1))) * [exit]simplify: Simplified to (log1p (/ 1 (- x 1))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (log (- x 1))) * [exit]simplify: Simplified to (- (log (- x 1))) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log (- x 1))) * [exit]simplify: Simplified to (- (log (- x 1))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (exp (/ 1 (- x 1))) * [exit]simplify: Simplified to (exp (/ 1 (- x 1))) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))) * [enter]simplify: Simplifying (cbrt (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- x 1))) * [exit]simplify: Simplified to (cbrt (/ 1 (- x 1))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- x 1)) (* (- x 1) (- x 1))) * [exit]simplify: Simplified to (/ (/ 1 (- x 1)) (* (- x 1) (- x 1))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (- x 1))) * [enter]simplify: Simplifying (sqrt (/ 1 (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (- x 1))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (- x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- 1 x) * [exit]simplify: Simplified to (- 1 x) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 (- x 1)) * [exit]simplify: Simplified to (/ 1 (- x 1)) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ 1 (fma x (* x x) (- 1))) * [exit]simplify: Simplified to (/ 1 (fma x (* x x) (- 1))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ 1 (- (* x x) 1)) * [exit]simplify: Simplified to (/ 1 (- (* x x) 1)) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ (pow x 3) x) (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (fma x (- (fma x x 1) x) (/ 1 (- x 1))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (/ 1 (- x 1)) (+ (- 1 (/ 1 x)) (/ 1 (* x x)))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (/ 1 (- x 1)) (+ (- 1 (/ 1 x)) (/ 1 (* x x)))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (* 2 (pow x 2)) (* 2 (pow x 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (fma (- 2) (fma x x (pow x 4)) (- 1)) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (+ (/ 2 (pow x 4)) (fma (/ 2 x) (/ 1 x) 1)) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (+ (* 2 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (+ (/ 2 (pow x 4)) (fma (/ 2 x) (/ 1 x) 1)) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (+ (pow x 2) (+ 1 x))) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (- (/ x (+ x 1)) (fma x x (+ x 1))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (/ 1 (pow x 3)) (+ (/ 1 x) (/ 1 (pow x 2)))) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * [exit]simplify: Simplified to (+ (+ (/ x (+ x 1)) (/ 1 x)) (+ (/ (/ 1 x) (* x x)) (/ 1 (* x x)))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (/ 1 (pow x 3)) (+ (/ 1 x) (/ 1 (pow x 2)))) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * [exit]simplify: Simplified to (+ (+ (/ x (+ x 1)) (/ 1 x)) (+ (/ (/ 1 x) (* x x)) (/ 1 (* x x)))) * * * [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 / 4 ] rewriting at (2 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 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 4)) (+ (* (- +nan.0) (pow x 3)) (* (- +nan.0) (pow x 2)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (pow x 3))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) (sqrt (/ (/ 1 x) (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) (sqrt (/ (/ 1 x) (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) (sqrt (/ (/ 1 x) (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 * [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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* -1/2 -1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 * [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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* 1/2 1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (/ x (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow (/ 1 x) 2)) (+ (* -1/2 (/ 1 x)) 1)) into (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow (/ 1 (- x)) 2)) (+ (* 1/2 (/ 1 (- x))) 1)) into (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ x (+ x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ x (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 x) (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow (/ 1 x) 2)) (+ (* -1/2 (/ 1 x)) 1)) into (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow (/ 1 (- x)) 2)) (+ (* 1/2 (/ 1 (- x))) 1)) into (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (/ x (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ x 1)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 3)) (+ (* -1 (pow x 2)) (* 1 x))) into (- (+ (pow x 3) x) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [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)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (+ x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (/ x (+ 1 x))) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (/ x (+ 1 x))) * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ x (+ x 1)))) (log (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ x (+ 1 x)))) (log (sqrt (/ x (+ 1 x))))) * [exit]simplify: Simplified to (+ (log (sqrt (/ x (+ 1 x)))) (log (sqrt (/ x (+ 1 x))))) * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (- (log x) (log1p x)) * [exit]simplify: Simplified to (- (log x) (log1p x)) * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) (* (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) (cbrt (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ x (+ x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (/ x (+ 1 x))) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (/ x (+ 1 x))) * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [enter]simplify: Simplifying (sqrt (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ 1 x) * [exit]simplify: Simplified to (+ 1 x) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (* (cbrt (sqrt (/ x (+ x 1)))) (cbrt (sqrt (/ x (+ x 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (* (cbrt (/ x (+ x 1))) (cbrt (/ x (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (fabs (cbrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ (pow x 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (fma x (* x x) 1))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (/ x (fma x (* x x) 1))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (/ x (- (* x x) (* 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (- (* x x) 1))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (/ x (- (* x x) 1))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (+ 1 x))) (sqrt (cbrt (/ x (+ 1 x))))) * [exit]simplify: Simplified to (* (sqrt (/ x (+ 1 x))) (sqrt (cbrt (/ x (+ 1 x))))) * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ x 1))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ x 1))) (sqrt (/ x (+ x 1)))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ x 1))) (sqrt (/ x (+ x 1)))) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (+ x 1))) (sqrt (- (fma x x 1) x))) * [exit]simplify: Simplified to (* (sqrt (/ x (+ x 1))) (sqrt (- (fma x x 1) x))) * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- x 1)) (sqrt (/ x (+ x 1)))) * * [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 (* (sqrt (- x 1)) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (- x 1)) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ x (+ x 1))) (sqrt x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (sqrt x) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt x) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (/ x (+ x 1))) (sqrt x)) * [exit]simplify: Simplified to (* (sqrt (/ x (+ x 1))) (sqrt x)) * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ x (+ x 1)))) (cbrt (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ x (+ x 1))) (cbrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (fabs (cbrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ x (fma (* x x) x 1))) * [exit]simplify: Simplified to (sqrt (/ x (fma (* x x) x 1))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (/ x (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (/ x (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (expm1 (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (log1p (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (log (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (exp (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ x (+ x 1)))) (cbrt (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ x (+ 1 x)))) (cbrt (sqrt (/ x (+ 1 x))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ x (+ x 1))) (sqrt (/ x (+ x 1)))) (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (/ x (+ 1 x)) (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ x (+ x 1))) (cbrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (fabs (cbrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (sqrt (/ 1 (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ x (fma (* x x) x 1))) * [exit]simplify: Simplified to (sqrt (/ x (fma (* x x) x 1))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (/ x (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (/ x (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt x) * [exit]simplify: Simplified to (sqrt x) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ x (+ 1 x)))) * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * [exit]simplify: Simplified to (expm1 (/ x (+ 1 x))) * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * [exit]simplify: Simplified to (log1p (/ x (+ 1 x))) * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log x) (log1p x)) * [exit]simplify: Simplified to (- (log x) (log1p x)) * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * [exit]simplify: Simplified to (exp (/ x (+ 1 x))) * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ x (+ x 1))) (cbrt (/ x (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (cbrt (/ x (+ 1 x))) * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * [exit]simplify: Simplified to (pow (/ x (+ 1 x)) 3) * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [enter]simplify: Simplifying (sqrt (/ x (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * [exit]simplify: Simplified to (sqrt (/ x (+ 1 x))) * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * [enter]simplify: Simplifying (- (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 x)) * [exit]simplify: Simplified to (- (+ 1 x)) * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) x) * [exit]simplify: Simplified to (/ (+ 1 x) x) * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [exit]simplify: Simplified to (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ x (sqrt (+ 1 x))) * [exit]simplify: Simplified to (/ x (sqrt (+ 1 x))) * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (fma (* x x) x 1)) * [exit]simplify: Simplified to (/ x (fma (* x x) x 1)) * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ x (- (* x x) 1)) * [exit]simplify: Simplified to (/ x (- (* x x) 1)) * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (pow x 3)))))))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (/ 1 (- x 1)) (+ (- 1 (/ 1 x)) (/ 1 (* x x)))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (+ (/ 1 (- x 1)) (+ (- 1 (/ 1 x)) (/ 1 (* x x)))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ x (+ x 1))) (fma (/ 1 x) (- (/ 3/8 x) 1/2) 1) (/ 1 (- x 1))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ x (+ x 1))) (fma (/ 1 x) (- (/ 3/8 x) 1/2) 1) (/ 1 (- x 1))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (sqrt (/ x (+ x 1))))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (fma (fma (/ 1 x) (- (/ 3/8 x) 1/2) 1) (sqrt (/ x (+ x 1))) (/ 1 (- x 1))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (- (+ 1 (* 3/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (sqrt (/ x (+ x 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (fma (fma (/ 1 x) (- (/ 3/8 x) 1/2) 1) (sqrt (/ x (+ x 1))) (/ 1 (- x 1))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (sqrt (- (+ (pow x 3) x) (pow x 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ x (+ x 1))) (sqrt (fma x (- 1 x) (pow x 3))) (/ 1 (- x 1))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (sqrt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ x (+ x 1))) (sqrt (+ (/ 1 (* x x)) (- 1 (/ 1 x)))) (/ 1 (- x 1))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (* (sqrt (/ x (+ x 1))) (sqrt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (fma (sqrt (/ x (+ x 1))) (sqrt (+ (/ 1 (* x x)) (- 1 (/ 1 x)))) (/ 1 (- x 1))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (/ 1 (- x 1)) (/ x (+ x 1))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (+ (/ 1 (- x 1)) (/ x (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (/ x (+ x 1)) (/ 1 (- x 1))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs