* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 1 0) 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 (+ 1 x)) (/ (+ 1 x) (- x 1))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 1 0) 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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 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 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ -1 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* 3 x) 1)) into (+ (* 3 x) (+ (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 x) (+ 1 (/ 1 x))) (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 x) (+ 1 (/ 1 x))) (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 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 (/ 1 x))) (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 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 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ -1 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 -2) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2 (/ -1 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 -2) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2 (/ 0 1)) (* 2 (/ -1 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 -2) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* -3 (pow (/ 1 x) 3)) (+ (* -1 (pow (/ 1 x) 2)) (* -3 (/ 1 x)))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 -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 (/ 1 (- x)))) (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 -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 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ -1 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- 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) 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 (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -2 (/ -1 -1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 -2) 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 (- 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 (- 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) 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 (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -2 (/ 0 -1)) (* 2 (/ -1 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (/ 1 (- x)) 3)) (+ (* -1 (pow (/ 1 (- x)) 2)) (* 3 (/ 1 (- x))))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ 1 x) (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 x) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 1 0) 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) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 1 0) 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 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 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow x 2)) (+ (* -2 x) -1)) into (- (+ (* 2 x) (+ (* 2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 x)) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 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 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 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) 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 (/ -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 0) into 0 * [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 (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2 (/ -1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) 1)) into (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- x))) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 -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 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (+ 0 -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 0) 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 (/ -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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -2 (/ -1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) 1)) into (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ x (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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 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 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 (- (+ x (pow x 3)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 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 (pow x 2)) 1) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 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) 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 (+ 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) 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 (pow x 2)) 1) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ x (+ 1 x))) (exp (/ (+ 1 x) (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1)))))) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x (- x 1)) (* (+ 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (- (- (* x x) x) (* (+ 1 x) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (* x x) x) (* (+ 1 x) (+ 1 x))) (* (+ 1 x) (- x 1)))) * [enter]simplify: Simplifying (* (+ 1 x) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ x 1) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- (* x (- x 1)) (* (+ 1 x) (+ 1 x))) (* (+ x 1) (- x 1)))) * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 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 (+ (sqrt (/ (+ 1 x) (- x 1))) (sqrt (/ x (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (sqrt (/ (+ 1 x) (- x 1))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))))) * [enter]simplify: Simplifying (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))) (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))))) * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (+ 1 x)) (sqrt (- x 1))) (sqrt (/ x (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (/ (sqrt (+ 1 x)) (sqrt (- x 1))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))))) * [enter]simplify: Simplifying (- (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))) (- (sqrt (/ x (+ 1 x))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ x (+ 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) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 x)) (log (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (log (+ x 1)) (log (- x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (exp (- (log (+ x 1)) (log (- x 1)))))) * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (pow (/ (+ x 1) (- x 1)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (cbrt (pow (/ (+ x 1) (- x 1)) 3)))) * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ x 1)) (cbrt (- x 1))) (/ (cbrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (* (/ (cbrt (+ x 1)) (cbrt (- x 1))) (/ (cbrt (+ x 1)) (cbrt (- x 1)))) (/ (cbrt (+ 1 x)) (cbrt (- x 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 x)) (cbrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ x 1)) (sqrt (- x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (* (/ (cbrt (+ x 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (/ (cbrt (+ 1 x)) (sqrt (- x 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 x)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (- x 1))) (/ (cbrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 x)) (- x 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 x)) (- x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (- x 1))))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (/ (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 x)) (cbrt (- x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) (cbrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (sqrt (+ 1 x)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (/ (sqrt (+ x 1)) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (- x 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (sqrt (+ 1 x)) (sqrt (- x 1))) (/ (sqrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (sqrt (+ x 1)) (/ (sqrt (+ 1 x)) (- x 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 x)) (- x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (sqrt (+ x 1)) (/ (sqrt (+ x 1)) (- x 1))))) * * * * [misc]progress: [ 32 / 71 ] 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))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (- x 1)))))) * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 33 / 71 ] 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))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* (/ 1 (sqrt (- x 1))) (/ (+ 1 x) (sqrt (- x 1)))))) * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ 1 (sqrt (- x 1))) (/ (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 34 / 71 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (* 1 (/ (+ 1 x) (- x 1))))) * [enter]simplify: Simplifying (/ (+ 1 x) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* 1 (/ (+ x 1) (- x 1))))) * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 (cbrt (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ (+ 1 x) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ (+ 1 x) (sqrt (- x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ (+ 1 x) 1) (- x 1)))) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ (sqrt (+ x 1)) (/ (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 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 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (+ 1 x) (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))))) * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ (+ 1 x) (- (* x x) (* 1 1))) (+ 1 x)))) * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ 1 (pow x 3)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ (+ 1 (pow x 3)) (* (- x 1) (+ (* 1 1) (- (* x x) (* 1 x))))))) * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ (- 1 (* x x)) (* (- x 1) (- 1 x))))) * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x (sqrt (+ 1 x))) (sqrt (+ x 1))) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x 1) (+ x 1)) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ x (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1))) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ x (- (* 1 1) (* x x))) (- 1 x)) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 x) (+ (pow x 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ x 3) x)) * [misc]simplify: Simplified (2) to (λ (x) (+ 1 (* (+ x 3) x))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 x) (+ (* 2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (- (- 1) (* (* 2 x) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (- (- 1) (* (* 2 x) (+ x 1))))) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* x x)) (+ (/ 2 x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (+ (/ 2 (* x x)) (+ (/ 2 x) 1)))) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* x x)) (+ (/ 2 x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (+ (/ 2 (* x x)) (+ (/ 2 x) 1)))) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (pow x 3)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (- 1 x)) x) * [misc]simplify: Simplified (2 1) to (λ (x) (- (* (+ (* x x) (- 1 x)) x) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ 1 (* x x)) (- 1 (/ 1 x))) (/ (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ 1 (* x x)) (- 1 (/ 1 x))) (/ (+ 1 x) (- x 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 3 x)) (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 x) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* x 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]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 3) into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 x) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* x 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]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 3) into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 3 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 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 (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (pow (/ 1 x) 2)) (* 3 (pow (/ 1 x) 3))) into (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 3 1) (+ (* 1 (/ 0 1)))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 0 1)) (* 0 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (/ 1 x) 3)) (* 1 (pow (/ 1 x) 2))) into (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 3 -1) into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 3 -1) into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ -3 1) (+ (* 1 (/ 0 1)))) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 0 -1)) (* 0 (/ 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (pow (/ 1 (- x)) 3)) (* 1 (pow (/ 1 (- x)) 2))) into (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) x) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 x) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* x 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]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 3) into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) x) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 x) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* x 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]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 3) into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 3 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* -3 (/ 1 x)) (+ (* -1 (pow (/ 1 x) 2)) (* -3 (pow (/ 1 x) 3)))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (/ (- 3) (/ 1 x)) (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) (/ 1 x)) (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) (/ 1 x)) (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 1) into -3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 3 1) into 3 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ -3 0) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 3 1) (+ (* 1 (/ 0 1)))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* -3 (pow (/ 1 x) 3)) (+ (* -1 (pow (/ 1 x) 2)) (* -3 (/ 1 x)))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (/ (- 3) (/ 1 (- x))) (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) (/ 1 (- x))) (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 -1) into 3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 3 -1) into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (- 3) (/ 1 (- x))) (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 3) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (- 3) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (/ -3 -1) into 3 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 3 (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 3 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 3 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 3 -1) into -3 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (- (/ 0 -1) (+ (* 3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 -1) (+ (* 3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ -3 1) (+ (* 1 (/ 0 1)))) into -3 * [misc]backup-simplify: Simplify (- -3) into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (/ 1 (- x)) 3)) (+ (* -1 (pow (/ 1 (- x)) 2)) (* 3 (/ 1 (- x))))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (/ 3 x))) (log (* x x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (log (+ (/ 3 x) 1)) (+ (log x) (log x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (exp (- (log (+ (/ 3 x) 1)) (+ (log x) (log x)))))) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ 1 (/ 3 x)) (+ 1 (/ 3 x))) (+ 1 (/ 3 x))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ 3 x) 1) (* x x)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (cbrt (pow (/ (+ (/ 3 x) 1) (* x x)) 3)))) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 (/ 3 x))) (cbrt (+ 1 (/ 3 x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 3 x) 1)) (/ (cbrt (+ (/ 3 x) 1)) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (* (* (cbrt (+ (/ 3 x) 1)) (/ (cbrt (+ (/ 3 x) 1)) x)) (/ (cbrt (+ 1 (/ 3 x))) x)))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 (/ 3 x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ 3 x) 1)) x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (- 3) x) (* (/ (* (cbrt (+ 1 (/ 3 x))) (cbrt (+ 1 (/ 3 x)))) x) (/ (cbrt (+ (/ 3 x) 1)) x)))) * * * * [misc]progress: [ 11 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (/ 3 x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ 3 x) 1)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (* (/ (sqrt (+ (/ 3 x) 1)) x) (/ (sqrt (+ 1 (/ 3 x))) x)))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 (/ 3 x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ 3 x) 1)) x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (- 3) x) (* (/ (sqrt (+ 1 (/ 3 x))) x) (/ (sqrt (+ (/ 3 x) 1)) x)))) * * * * [misc]progress: [ 12 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (* (/ 1 x) (/ (+ 1 (/ 3 x)) x)))) * [enter]simplify: Simplifying (/ (+ 1 (/ 3 x)) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (+ (/ 3 x) 1) x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ (- 3) x) (* (/ 1 x) (/ (+ (/ 3 x) 1) x)))) * * * * [misc]progress: [ 13 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (/ 3 x))) (cbrt (+ 1 (/ 3 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 3 x) 1)) (cbrt (+ (/ 3 x) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (/ (* (cbrt (+ (/ 3 x) 1)) (cbrt (+ (/ 3 x) 1))) (/ (* x x) (cbrt (+ 1 (/ 3 x))))))) * * * * [misc]progress: [ 18 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (/ 3 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 3 x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (/ (sqrt (+ (/ 3 x) 1)) (/ (* x x) (sqrt (+ 1 (/ 3 x))))))) * * * * [misc]progress: [ 19 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (/ 3 x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (pow (/ 3 x) 3) 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (/ (+ (pow (/ 3 x) 3) 1) (* (* x x) (+ (* 1 1) (- (* (/ 3 x) (/ 3 x)) (* 1 (/ 3 x)))))))) * * * * [misc]progress: [ 21 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (/ 3 x) (/ 3 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- 1 (* (/ 3 x) (/ 3 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (- (/ (- 3) x) (/ (- 1 (* (/ 3 x) (/ 3 x))) (* (* x x) (- 1 (/ 3 x)))))) * * * * [misc]progress: [ 22 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (- 3) x)) (exp (/ (+ 1 (/ 3 x)) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (exp (- (/ (- (- 1) (/ 3 x)) (* x x)) (/ 3 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (- (/ (- (- 1) (/ 3 x)) (* x x)) (/ 3 x))))) * * * * [misc]progress: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- 3) (* x x)) (* x (+ 1 (/ 3 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (- (* (- x) (* 3 x)) (- 3 (- x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (- x) (* 3 x)) (- 3 (- x))) (* x (* x x)))) * [enter]simplify: Simplifying (* x (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (pow x 3) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- (* (- x) (* 3 x)) (- 3 (- x))) (pow x 3))) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (- 3) x)) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (+ 1 (/ 3 x)) (* x x))) (sqrt (- (/ 3 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (sqrt (/ (+ 1 (/ 3 x)) (* x x))) (sqrt (- (/ 3 x)))) (- (sqrt (/ (- 3) x)) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))))) * [enter]simplify: Simplifying (- (sqrt (/ (- 3) x)) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (sqrt (- (/ 3 x))) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ (- 3) x)) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))) (- (sqrt (- (/ 3 x))) (sqrt (/ (+ 1 (/ 3 x)) (* x x)))))) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (- 3) x)) (/ (sqrt (+ 1 (/ 3 x))) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (- (/ 3 x))) (/ (sqrt (+ 1 (/ 3 x))) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (sqrt (- (/ 3 x))) (/ (sqrt (+ 1 (/ 3 x))) x)) (- (sqrt (/ (- 3) x)) (/ (sqrt (+ 1 (/ 3 x))) x)))) * [enter]simplify: Simplifying (- (sqrt (/ (- 3) x)) (/ (sqrt (+ 1 (/ 3 x))) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (- (/ 3 x))) (/ (sqrt (+ 1 (/ 3 x))) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ (- 3) x)) (/ (sqrt (+ 1 (/ 3 x))) x)) (- (sqrt (- (/ 3 x))) (/ (sqrt (+ 1 (/ 3 x))) x)))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ (- (- 1) (/ 3 x)) (* x x)) (/ 3 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ (- (- 1) (/ 3 x)) (* x x)) (/ 3 x)))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (x) (- 0 (+ (/ 3 x) (/ (+ 1 (/ 3 x)) (* x x))))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 3 x) 1) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (- 3) x) (/ (+ (/ 3 x) 1) (* x x)))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 3 x) 1) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (- 3) x) (/ (+ (/ 3 x) 1) (* x x)))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (/ 1 (pow x 3))) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (+ (/ 3 x) 1) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ (- 3) x) (/ (+ (/ 3 x) 1) (* x x)))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ x (+ 1 x)) (/ 1 (/ (- x 1) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ x (+ 1 x)) (/ 1 (/ (- x 1) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ x (+ 1 x)) (/ 1 (/ (- x 1) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -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 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 2 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -2 -1)) (* -2 (/ 2 -1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ -1 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* 3 x) 1)) into (+ (* 3 x) (+ (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 x) (+ 1 (/ 1 x))) (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 x) (+ 1 (/ 1 x))) (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 x) (+ 1 (/ 1 x))) (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -2 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 -2) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [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 (/ 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)) (* 2 (/ -2 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 -2) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (/ 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)) (* 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)) (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -2 1)) (* 2 (/ 2 1)) (* 2 (/ -2 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 -2) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (+ (* -3 (pow (/ 1 x) 3)) (+ (* -1 (pow (/ 1 x) 2)) (* -3 (/ 1 x)))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* 1 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- 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 (- 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)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)) (* -2 (/ 2 1)))) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 -2) 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 (- 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 (- 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 (- 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)) (* 2 (/ 0 -1)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)) (* -2 (/ 2 1)) (* 2 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify (- -2) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (/ 1 (- x)) 3)) (+ (* -1 (pow (/ 1 (- x)) 2)) (* 3 (/ 1 (- x))))) into (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- x 1) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x 1) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- x 1) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 2 -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -2 -1)) (* -2 (/ 2 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow x 2)) (+ (* -2 x) -1)) into (- (+ (* 2 x) (+ (* 2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 x) 1) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -2 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)) (* 2 (/ -2 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) 1)) into (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* 1 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 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 (- 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)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 2 1)) (* -2 (/ 2 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) 1)) into (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (- x 1) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -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 (/ (- x 1) (+ 1 x)) 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 -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 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow x 2)) (+ (* 2 x) -1)) into (- (* 2 x) (+ (* 2 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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) (+ 1 (/ 1 x))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 x) 2)) (+ (* -2 (/ 1 x)) 1)) into (- (+ (* 2 (/ 1 (pow x 2))) 1) (* 2 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- x)) 1) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) 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) (+ 1 (/ 1 (- x)))) 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]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) 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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* 1 (/ 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 (- 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)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 (- x)) 2)) (+ (* 2 (/ 1 (- x))) 1)) into (- (+ (* 2 (/ 1 (pow x 2))) 1) (* 2 (/ 1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ x (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ x (+ 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]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [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 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 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 (- (+ x (pow x 3)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 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 (pow x 2)) 1) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 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) 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 (+ 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) 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 (pow x 2)) 1) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ x (+ 1 x))) (exp (/ 1 (/ (- x 1) (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (exp (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1)))))) * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x (/ (- x 1) (+ 1 x))) (* (+ 1 x) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (- (* (- x 1) (/ x (+ 1 x))) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (- x 1) (/ x (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x))))) * [enter]simplify: Simplifying (* (+ 1 x) (/ (- x 1) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- (* (- x 1) (/ x (+ 1 x))) (+ 1 x)) (- x 1))) * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ x (+ 1 x))) (sqrt (/ 1 (/ (- x 1) (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (+ 1 x) (- x 1))) (sqrt (/ x (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (sqrt (/ (+ 1 x) (- x 1))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ x (+ 1 x))) (sqrt (/ 1 (/ (- x 1) (+ 1 x))))))) * [enter]simplify: Simplifying (- (sqrt (/ x (+ 1 x))) (sqrt (/ 1 (/ (- x 1) (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ (+ 1 x) (- x 1))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ x (+ 1 x))) (sqrt (/ (+ 1 x) (- x 1)))))) * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ x (+ 1 x)) (/ 1 (/ (- x 1) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ x (+ 1 x)) (/ 1 (/ (- x 1) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ x (+ 1 x)) (/ (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 105 ] 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) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (pow (/ (- x 1) (+ 1 x)) (- 1)))) * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- x 1) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (* (cbrt (/ (- x 1) (+ 1 x))) (cbrt (/ (- x 1) (+ 1 x))))) (cbrt (/ (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- x 1) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (sqrt (/ (- x 1) (+ 1 x)))) (sqrt (/ (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (+ 1 x)))) (/ (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- x 1))) 1)) (/ (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (sqrt (- x 1)) 1)) (/ (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x 1) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x 1) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x 1) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ 1 (sqrt (+ 1 x)))) (/ (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x 1) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- x 1) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ 1 1)) (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- x 1) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- x 1) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 1) (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (- x 1)) (/ 1 (+ x 1))))) * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (- x 1) (+ (pow 1 3) (pow x 3)))) (- (* x x) (- x 1))))) * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ (/ 1 (/ (- x 1) (- (* 1 1) (* x x)))) (- 1 x)))) * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (* (/ 1 (- x 1)) (+ x 1)))) * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- x 1)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (log (- x 1)) (log (+ 1 x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (exp (- (log (- x 1)) (log (+ 1 x))))))) * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- x 1) (- x 1)) (- x 1)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (pow (/ (- x 1) (+ 1 x)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (cbrt (pow (/ (- x 1) (+ 1 x)) 3))))) * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 105 ] 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 (/ x (+ 1 x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (- (/ x (+ 1 x)) (/ 1 (+ 1 x)))))) * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x 1)) (cbrt (+ 1 x))) (/ (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (* (/ (cbrt (- x 1)) (cbrt (+ 1 x))) (/ (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (* (/ (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (+ 1 x))) (/ (cbrt (- x 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- x 1)) (cbrt (- x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (cbrt (- x 1)) (+ 1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (- x 1)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- x 1)) (+ 1 x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (cbrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (sqrt (- x 1)) (sqrt (+ 1 x))) (/ (sqrt (- x 1)) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (sqrt (- x 1)) (sqrt (+ 1 x))) (/ (sqrt (- x 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (sqrt (- x 1)) (/ (sqrt (- x 1)) (+ 1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (- x 1)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- x 1)) (+ 1 x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (sqrt (- x 1)) (/ (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (cbrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- x 1) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x 1) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ 1 (sqrt (+ x 1))) (/ (- x 1) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- x 1) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- x 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ 1 (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 65 / 105 ] 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 * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* 1 (/ (- x 1) (+ 1 x)))))) * [enter]simplify: Simplifying (/ (- x 1) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- x 1) (+ 1 x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* 1 (/ (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (/ (- x 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (/ (- x 1) (sqrt (+ 1 x))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (/ (- x 1) 1) (+ x 1))))) * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- x 1)) (cbrt (- 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 (- x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (- x 1))))))) * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (sqrt (- x 1)) (/ (+ 1 x) (sqrt (- x 1))))))) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (- x 1) (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1)))))) * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (* (/ (- x 1) (- (* 1 1) (* x x))) (- 1 x))))) * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow x 3) (pow 1 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (pow x 3) 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (- (pow x 3) 1) (* (+ 1 x) (+ (* x x) (+ (* 1 1) (* x 1)))))))) * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (/ (- (* x x) 1) (* (+ 1 x) (+ x 1)))))) * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x (sqrt (+ 1 x))) (sqrt (+ x 1))) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ x 1) (+ x 1)) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ x (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1))) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ x (- (* 1 1) (* x x))) (- 1 x)) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 x) (+ (pow x 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ x 3) x)) * [misc]simplify: Simplified (2) to (λ (x) (+ 1 (* (+ x 3) x))) * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 3) x) (/ (+ 1 (/ 3 x)) (* x x)))) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 x) (+ (* 2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (- (- 1) (* (* 2 x) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (- (- 1) (* (* 2 x) (+ x 1))))) * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* x x)) (+ (/ 2 x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (+ (/ 2 (* x x)) (+ (/ 2 x) 1)))) * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* x x)) (+ (/ 2 x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ x (+ 1 x)) (+ (/ 2 (* x x)) (+ (/ 2 x) 1)))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 x) (+ (* 2 (pow x 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (* (* 2 x) (- 1 x)) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (- (* (* 2 x) (- 1 x)) 1)))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 2))) 1) (* 2 (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (+ (- 1 (/ 2 x)) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (+ (- 1 (/ 2 x)) (/ 2 (* x x)))))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 2))) 1) (* 2 (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (+ (- 1 (/ 2 x)) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ x (+ 1 x)) (/ 1 (+ (- 1 (/ 2 x)) (/ 2 (* x x)))))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (pow x 3)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (- 1 x)) x) * [misc]simplify: Simplified (2 1) to (λ (x) (- (* (+ (* x x) (- 1 x)) x) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ 1 (* x x)) (- 1 (/ 1 x))) (/ 1 (/ (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ 1 (* x x)) (- 1 (/ 1 x))) (/ 1 (/ (- x 1) (+ 1 x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (+ x 3) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ x 3) x) in x * [misc]taylor: Taking taylor expansion of (+ x 3) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 3) x) in x * [misc]taylor: Taking taylor expansion of (+ x 3) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into 3 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* 1 0)) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (* 3 x)) into (+ (* 3 x) (pow x 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 x) 3) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) 3) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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) 3) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 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 3) into 3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 3 1)) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 1 0) (+ (* 3 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (* 3 x) (pow x 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- x)) 3) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) 3) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [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)) 3) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 3) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 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 3) into 3 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 3 -1)) into -3 * [misc]backup-simplify: Simplify -3 into -3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (+ (* -1 0) (+ (* 3 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -3 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (* 3 x) (pow x 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x 3)) (cbrt (+ x 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 3 x)) (cbrt (+ 3 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (+ 1 (* (* (cbrt (+ 3 x)) (cbrt (+ 3 x))) (* (cbrt (+ x 3)) x)))) * * * * [misc]progress: [ 9 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 3 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (+ 1 (* (sqrt (+ 3 x)) (* (sqrt (+ x 3)) x)))) * * * * [misc]progress: [ 10 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow x 3) (pow 3 3)) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (* (* 3 3) (* x 3)) (* (* x x) (* x x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (+ 1 (/ (+ (* (* 3 3) (* x 3)) (* (* x x) (* x x))) (+ (* x x) (- (* 3 3) (* x 3)))))) * * * * [misc]progress: [ 12 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* x x) (* 3 3)) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (* (- (* x x) (* 3 3)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (+ 1 (/ (* (- (* x x) (* 3 3)) x) (- x 3)))) * * * * [misc]progress: [ 13 / 16 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 x) (pow x 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* x (+ x 3)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ 1 (* x (+ x 3)))) * * * * [misc]progress: [ 15 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 x) (pow x 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* x (+ x 3)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ 1 (* x (+ x 3)))) * * * * [misc]progress: [ 16 / 16 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 x) (pow x 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* x (+ x 3)) * [misc]simplify: Simplified (2 2) to (λ (x) (+ 1 (* x (+ x 3)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # # #) * * * [misc]regime: Found split indices: #