* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 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 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 x) (+ 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 (expm1 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (expm1 (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 x) (+ 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 (log1p (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log1p (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 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 (100 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 12 / 49 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [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)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (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 (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (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 (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 19 / 49 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 20 / 49 ] 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 49 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 24 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- 1 x) 1) * [exit]simplify: Simplified to (/ (- 1 x) 1) * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 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 (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 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 (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (fma x (- (* x 2) 2) 1))) 2) * * * * [misc]progress: [ 45 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1))))) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1))))) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (log (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ (* 1/2 (pow x 2)) (+ (* 1/3 (pow x 3)) x))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (- (log -1) (log (/ 1 x))))) into (- (log -1) (+ (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) (- (log (/ 1 (- x)))))) into (- (+ (log (/ -1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log (- 1 (/ 1 x))) (log1p (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 (/ 1 x)))) (log1p (/ 1 (/ 1 x))))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x))))))) into (atan (sqrt (exp (- (log (+ 1 (/ 1 x))) (log1p (/ -1 x)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x))))))) into (atan (sqrt (exp (- (log (+ 1 (/ 1 x))) (log1p (/ -1 x)))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (+ 1 (/ 1 x))) (log1p (/ -1 x)))))) into (atan (sqrt (exp (- (log (+ 1 (/ 1 x))) (log1p (/ -1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log (+ 1 (/ 1 (/ 1 (- x))))) (log1p (/ -1 (/ 1 (- x)))))))) into (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (log (- 1 x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log (- 1 x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log (- 1 x)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (- 1 x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log (- 1 x)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 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 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 -1/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ -1/4 1/4) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 -1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 -1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 -1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 -1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (- 1/5) into -1/5 * [misc]backup-simplify: Simplify (+ -1/5 -1/5) into -2/5 * [misc]backup-simplify: Simplify -2/5 into -2/5 * [misc]backup-simplify: Simplify (+ (* -2/5 (pow x 5)) (+ (* -2/3 (pow x 3)) (* -2 x))) into (- (+ (* 2/3 (pow x 3)) (+ (* 2/5 (pow x 5)) (* 2 x)))) * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) (log x)) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -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 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [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 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 -1/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (+ (* -2/3 (pow (/ 1 x) 3)) (+ (* -2 (/ 1 x)) (log -1))) into (- (log -1) (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log x)) (- (log x) (log -1))) into (- (log -1)) * [misc]backup-simplify: Simplify (- (log -1)) into (- (log -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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 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 (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (/ 1 (- x)) 3)) (+ (* 2 (/ 1 (- x))) (- (log -1)))) into (- (+ (* 2/3 (/ 1 (pow x 3))) (+ (log -1) (* 2 (/ 1 x))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [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 (/ (* (pow (* 1 1) 1)) (pow -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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log1p (log (- 1 x))) * [exit]simplify: Simplified to (log1p (log (- 1 x))) * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [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 (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [exit]simplify: Simplified to (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [enter]simplify: Simplifying (log (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (cbrt (- 1 x))) * [exit]simplify: Simplified to (log (cbrt (- 1 x))) * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [enter]simplify: Simplifying (log (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (fma (* x x) (- x) 1)) * [exit]simplify: Simplified to (log (fma (* x x) (- x) 1)) * [enter]simplify: Simplifying (log (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (log1p (fma x x x)) * [exit]simplify: Simplified to (log1p (fma x x x)) * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [enter]simplify: Simplifying (log (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p x) * [exit]simplify: Simplified to (log1p x) * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (log (- 1 x))) * [exit]simplify: Simplified to (log (log (- 1 x))) * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- 1 x) * [exit]simplify: Simplified to (- 1 x) * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [enter]simplify: Simplifying (cbrt (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (log (- 1 x))) * [exit]simplify: Simplified to (cbrt (log (- 1 x))) * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (log (- 1 x)) 3) * [exit]simplify: Simplified to (pow (log (- 1 x)) 3) * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [enter]simplify: Simplifying (sqrt (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) (cbrt (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x))))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x))))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))) (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (exp (log1p x))))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (exp (log1p x))))) 3) * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (exp (log1p x)))))) * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (cbrt (log (- 1 x))) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (- 1 x))) (sqrt (log (- 1 x))) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (- 1 x)) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * [exit]simplify: Simplified to (- (log1p x) (log1p x)) * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (expm1 (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (expm1 (- (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log1p (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (log1p (- (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (exp (log1p x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (exp (log1p x))) * [exit]simplify: Simplified to (/ (- 1 x) (exp (log1p x))) * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (log (- (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (exp (log1p x))) * [exit]simplify: Simplified to (/ (- 1 x) (exp (log1p x))) * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (- 1 x)) (log1p x))) (cbrt (- (log (- 1 x)) (log1p x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (- 1 x)) (log1p x))) (cbrt (- (log (- 1 x)) (log1p x)))) * [exit]simplify: Simplified to (* (cbrt (- (log (- 1 x)) (log1p x))) (cbrt (- (log (- 1 x)) (log1p x)))) * [enter]simplify: Simplifying (cbrt (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (cbrt (- (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (- 1 x)) (log1p x)) (- (log (- 1 x)) (log1p x))) (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (pow (- (log (- 1 x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (- (log (- 1 x)) (log1p x)) 3) * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (sqrt (- (log (- 1 x)) (log1p x))) * [enter]simplify: Simplifying (sqrt (- (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (sqrt (- (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (- 1 x)) 3) (pow (log1p x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (fma (log (- 1 x)) (* (log (- 1 x)) (log (- 1 x))) (* (* (log1p x) (log1p x)) (- (log1p x)))) * [exit]simplify: Simplified to (fma (log (- 1 x)) (* (log (- 1 x)) (log (- 1 x))) (* (* (log1p x) (log1p x)) (- (log1p x)))) * [enter]simplify: Simplifying (+ (* (log (- 1 x)) (log (- 1 x))) (+ (* (log1p x) (log1p x)) (* (log (- 1 x)) (log1p x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (fma (log1p x) (+ (log1p x) (log (- 1 x))) (* (log (- 1 x)) (log (- 1 x)))) * [exit]simplify: Simplified to (fma (log1p x) (+ (log1p x) (log (- 1 x))) (* (log (- 1 x)) (log (- 1 x)))) * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (- 1 x)) (log (- 1 x))) (* (log1p x) (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (- (log (- 1 x)) (log1p x)) (+ (log1p x) (log (- 1 x)))) * [exit]simplify: Simplified to (* (- (log (- 1 x)) (log1p x)) (+ (log1p x) (log (- 1 x)))) * [enter]simplify: Simplifying (+ (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (+ (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (log (- 1 x))) (sqrt (log1p x))) * [exit]simplify: Simplified to (+ (sqrt (log (- 1 x))) (sqrt (log1p x))) * [enter]simplify: Simplifying (- (sqrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (log (- 1 x))) (sqrt (log1p x))) * [exit]simplify: Simplified to (- (sqrt (log (- 1 x))) (sqrt (log1p x))) * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (- 1 x))) (log1p x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- 1 x))) (log1p x)) * [exit]simplify: Simplified to (- (log (cbrt (- 1 x))) (log1p x)) * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 x))) (log1p x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- 1 x))) (log1p x)) * [exit]simplify: Simplified to (- (log (sqrt (- 1 x))) (log1p x)) * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* 1 1) (+ (* x x) (* 1 x)))) (log1p x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log1p x) (log1p (fma x x x))) * [exit]simplify: Simplified to (+ (log1p x) (log1p (fma x x x))) * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (log1p x) (log1p x)) * [exit]simplify: Simplified to (+ (log1p x) (log1p x)) * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 67 / 88 ] 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) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (- (+ (* 1/2 (pow x 2)) (+ (* 1/3 (pow x 3)) x))) (log1p x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (exp (- (fma (pow x 3) (- 1/3) (- x)) (fma (* x x) 1/2 (log1p x)))))) 2) * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (- (log -1) (+ (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (log1p x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (- (exp (- (- (log x) (/ 1 x)) (fma (/ 1/2 x) (/ 1 x) (log1p x)))))))) * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (- (+ (log (/ -1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))) (log1p x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (/ (/ 1 (/ -1 x)) (exp (fma (+ 1 (/ 1/2 x)) (/ 1 x) (log1p x))))))) * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (exp (log1p x))))) 2) * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (exp (log1p x))))) 2) * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (exp (log1p x))))) 2) * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (+ (* 2/3 (pow x 3)) (+ (* 2/5 (pow x 5)) (* 2 x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (exp (fma (- x) (fma 2/3 (* x x) 2) (* (- 2/5) (pow x 5)))))) 2) * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log -1) (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (exp (- (- (log -1) (/ 2 x)) (/ (/ 2/3 x) (* x x)))))) 2) * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (+ (* 2/3 (/ 1 (pow x 3))) (+ (log -1) (* 2 (/ 1 x))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (/ (/ 1 -1) (exp (/ 2 x))) (exp (/ (/ 2/3 x) (* x x)))))) 2) * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (/ (- 1 x) (exp x)) (pow (exp (* x x)) (- (* x 1/3) 1/2))))) 2) * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (* (/ 1 x) (* (exp (/ (/ 1/2 x) x)) (/ (- 1 x) (exp (/ 1 x))))))) 2) * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (exp (- (log (- 1 x)) (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (/ (- 1 x) (exp (/ 1 x))) (/ (* 1 x) (exp (/ (/ 1/2 x) x)))))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 1 -2/3) (* -2/3 1)) into -4/3 * [misc]backup-simplify: Simplify -4/3 into -4/3 * [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 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [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 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify (+ (* 1 2/9) (+ (* -2/3 -2/3) (* 2/9 1))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow x 2)) (+ (* -4/3 x) 1)) into (- (+ (* 8/9 (pow x 2)) 1) (* 4/3 x)) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow -1 1/3) (pow -1 1/3)) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1 2) 1/3) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* -2/3 (pow -1 1/3))) (* (* -2/3 (pow -1 1/3)) (pow -1 1/3))) into (- 4/3) * [misc]backup-simplify: Simplify (- 4/3) into -4/3 * [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 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [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 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/9 (pow -1 1/3))) (+ (* (* -2/3 (pow -1 1/3)) (* -2/3 (pow -1 1/3))) (* (* 2/9 (pow -1 1/3)) (pow -1 1/3)))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow (/ 1 x) 2)) (+ (* -4/3 (/ 1 x)) (pow (pow -1 2) 1/3))) into (- (+ (pow (pow -1 2) 1/3) (* 8/9 (/ 1 (pow x 2)))) (* 4/3 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow -1 1/3) (pow -1 1/3)) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1 2) 1/3) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/3 (pow -1 1/3))) (* (* 2/3 (pow -1 1/3)) (pow -1 1/3))) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [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 (+ 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 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/9 (pow -1 1/3))) (+ (* (* 2/3 (pow -1 1/3)) (* 2/3 (pow -1 1/3))) (* (* 2/9 (pow -1 1/3)) (pow -1 1/3)))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow (/ 1 (- x)) 2)) (+ (* 4/3 (/ 1 (- x))) (pow (pow -1 2) 1/3))) into (- (+ (pow (pow -1 2) 1/3) (* 8/9 (/ 1 (pow x 2)))) (* 4/3 (/ 1 x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 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 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 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 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 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 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (expm1 (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 2 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log1p (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 3 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 4 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 5 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 6 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 7 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 9 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (- 1 x) (+ 1 x)))) (log (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (- 1 x) (+ x 1)))) (log (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (- 1 x) (+ x 1)))) (log (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 11 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 12 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 13 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 14 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 15 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 16 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 17 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [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))) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * * * * [misc]progress: [ 18 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 20 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 21 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 22 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 23 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (- 1 x)) (/ 1 (cbrt (- 1 x))))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (- 1 x)) (/ 1 (cbrt (- 1 x))))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 24 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 25 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 26 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 x)) 1)) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 x)) 1)) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 27 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 28 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 29 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt 1)) * * * * [misc]progress: [ 30 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 31 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 32 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (fma x (* x x) 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (fma x (* x x) 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 33 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 34 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (cbrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 35 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (sqrt (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 36 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 37 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 38 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 39 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 40 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 41 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cbrt (- 1 x)) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (cbrt (- 1 x)) (+ x 1)))) * * * * [misc]progress: [ 42 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 43 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 44 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (- 1 x)) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (sqrt (- 1 x)) (+ x 1)))) * * * * [misc]progress: [ 45 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (cbrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (cbrt (+ x 1))))) * * * * [misc]progress: [ 46 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * * * * [misc]progress: [ 47 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 48 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 49 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ 1 (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ 1 (+ x 1)))) * * * * [misc]progress: [ 50 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (cbrt (fma x x (- 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (fma x x (- 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * * * [misc]progress: [ 51 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 52 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 53 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 54 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 55 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 56 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 57 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 x) (+ 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 (expm1 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (expm1 (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 59 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 x) (+ 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 (log1p (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log1p (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 60 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 62 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 63 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 64 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 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 (100 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 65 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 66 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 67 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 68 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 69 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [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)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 70 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (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 (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 71 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 72 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 73 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (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 (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 74 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 75 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 76 / 171 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 77 / 171 ] 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 78 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 79 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 81 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 82 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 83 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 84 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- 1 x) 1) * [exit]simplify: Simplified to (/ (- 1 x) 1) * * * * [misc]progress: [ 85 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 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 (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 86 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 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 (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 87 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 88 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * * * * [misc]progress: [ 89 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 90 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * * * * [misc]progress: [ 91 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 92 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 x) (+ 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 (expm1 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (expm1 (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 93 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 x) (+ 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 (log1p (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log1p (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 94 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 96 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 97 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 98 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 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 (100 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 99 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 100 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 101 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 102 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 103 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [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)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 104 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (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 (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 105 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 106 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 107 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (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 (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 108 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 109 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 110 / 171 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 111 / 171 ] 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 112 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 113 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 115 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 116 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 117 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 118 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- 1 x) 1) * [exit]simplify: Simplified to (/ (- 1 x) 1) * * * * [misc]progress: [ 119 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 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 (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 120 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 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 (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 121 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 122 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * * * * [misc]progress: [ 123 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 124 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * * * * [misc]progress: [ 125 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 126 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 x) (+ 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 (expm1 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (expm1 (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 127 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 x) (+ 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 (log1p (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log1p (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 128 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 129 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 130 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 131 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 132 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 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 (100 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 133 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 134 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 135 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 136 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 137 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [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)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 138 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (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 (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 139 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 140 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 141 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (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 (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 142 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 143 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 144 / 171 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 145 / 171 ] 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 146 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 147 / 171 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 171 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 149 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 150 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 151 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 152 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- 1 x) 1) * [exit]simplify: Simplified to (/ (- 1 x) 1) * * * * [misc]progress: [ 153 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 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 (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 154 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 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 (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 155 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 156 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * * * * [misc]progress: [ 157 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 158 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * * * * [misc]progress: [ 159 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 160 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (- (+ (* 8/9 (pow x 2)) 1) (* 4/3 x)) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (* (cbrt (/ (- 1 x) (+ x 1))) (fma x (- (* x 8/9) 4/3) 1)))) 2) * * * * [misc]progress: [ 161 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (- (+ (pow (pow -1 2) 1/3) (* 8/9 (/ 1 (pow x 2)))) (* 4/3 (/ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (fma (/ 1 x) (- (/ 8/9 x) 4/3) (cbrt (* -1 -1))))))) * * * * [misc]progress: [ 162 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (- (+ (pow (pow -1 2) 1/3) (* 8/9 (/ 1 (pow x 2)))) (* 4/3 (/ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (fma (/ 1 x) (- (/ 8/9 x) 4/3) (cbrt (* -1 -1))))))) * * * * [misc]progress: [ 163 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (* (cbrt (fma (- (* 2 x) 2) x 1)) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))))) 2) * * * * [misc]progress: [ 164 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1))))))) * * * * [misc]progress: [ 165 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1))))))) * * * * [misc]progress: [ 166 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- (+ (* 2 (pow x 2)) 1) (* 2 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (* (cbrt (fma 2 (- (* x x) x) 1)) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))))) 2) * * * * [misc]progress: [ 167 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (cbrt (- (/ 2 x) (fma (/ 2 x) (/ 1 x) 1))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 168 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (cbrt (- (/ 2 x) (fma (/ 2 x) (/ 1 x) 1))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 169 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (* (cbrt (fma (- (* x x) x) 2 1)) (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))))) 2) * * * * [misc]progress: [ 170 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (/ 2 x) (fma (/ 2 x) (/ 1 x) 1))))))) * * * * [misc]progress: [ 171 / 171 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (* (* (cbrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (- (/ 2 x) (fma (/ 2 x) (/ 1 x) 1))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 x) (+ 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 x) (+ 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) -1) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) -1) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 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 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 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 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) -1) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 x) (+ 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 x) (+ 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 1)) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 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 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) * [misc]taylor: Taking taylor expansion of (log1p (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 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 (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) into (log (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 1)) into (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [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 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) 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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 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 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 x))) 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 (/ 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (exp (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ x 1)))) 1) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ x 1)))) 1) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log1p (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (log1p (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (log (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (exp (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (* (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (pow (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * [exit]simplify: Simplified to (pow (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (log1p (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 x) (+ 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 (expm1 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (expm1 (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 x) (+ 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 (log1p (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log1p (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 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 (100 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- x 1) * [exit]simplify: Simplified to (- x 1) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 34 / 77 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [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)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (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 (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (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 (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (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 (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 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 (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 41 / 77 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 42 / 77 ] 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 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 (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 77 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (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 (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- 1 x) 1) * [exit]simplify: Simplified to (/ (- 1 x) 1) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 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 (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 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 (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [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) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (fma x (* x x) 1)) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (fma (fma x x x) (+ x 1) (+ x 1)) * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (expm1 (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log1p (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log (+ 1 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (fma x (- (* x 2) 2) 1)))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1)))) 2) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (- (/ 2 x) (fma (/ 1 x) (/ 2 x) 1)))) 2) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (expm1 (log1p (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * [enter]simplify: Simplifying (log1p x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p x) * [exit]simplify: Simplified to (log1p x)