* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 188 additional inputs, on iter 1 have 68 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 144 additional inputs, on iter 2 have 112 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 111 additional inputs, on iter 3 have 145 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 85 additional inputs, on iter 4 have 171 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 58 additional inputs, on iter 5 have 198 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 45 additional inputs, on iter 6 have 211 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 7 have 227 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 21 additional inputs, on iter 8 have 235 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 9 have 238 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 11 have 243 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 255 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [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 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (- (sqrt -1)) into (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (sqrt -1)))) into (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (- 1 (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 2)) 1) into (- 1 (pow x 2)) * [misc]approximate: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* -1 (pow (/ 1 (/ 1 x)) 2))) into (- 1 (pow x 2)) * [misc]approximate: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* -1 (pow (/ 1 (/ 1 (- x))) 2))) into (- 1 (pow x 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* 1 (sqrt (- 1 (* x x)))) x)))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 6))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (- 1 (pow x 6))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (- 1 (pow x 4))) (sqrt (+ 1 (* x x)))) x)))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (fabs (sqrt (- 1 (* x x)))) x)))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 x)) (exp (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (log (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (+ x (* (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (+ x (* (sqrt (- 1 (* x x))) x)) (* x x)))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (+ x (* (sqrt (- 1 (* x x))) x)) (* x x)))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* 1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* 1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * [enter]simplify: Simplifying (+ 1 (sqrt (- 1 (* x 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 (+ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * [enter]simplify: Simplifying (+ 1 (sqrt (- 1 (* x 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 (+ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x)))) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ x (cbrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (fabs (cbrt (- 1 (* x x)))) (/ x (sqrt (cbrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ 1 (/ x (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 6))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (pow x 6))) (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (pow x 4))) (* x (sqrt (+ 1 (* x x)))))))) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) x)))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) x)))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) x)))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (- (* (* x x) (* -1/8 x)) (+ (/ -2 x) (* x 1/2))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (- (* (* x x) (* -1/8 x)) (+ (/ -2 x) (* x 1/2))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (+ (sqrt -1) (/ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (+ (sqrt -1) (/ -1 x))))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (+ (* (* x -1/8) (* x x)) (+ (* -1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (* (* x -1/8) (* x x)) (+ (* -1/2 x) (/ 1 x)))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1))))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -1)))))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (pow x 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) (- +nan.0))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) +nan.0)) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/2 (sqrt (/ 1 (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (sqrt (sqrt -1)) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt (- (sqrt -1)))) into (/ -1/2 (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (sqrt (- (sqrt -1))) (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x)))) (+ (* 1/4 (/ 1 (* (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) +nan.0)) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/2 (sqrt (/ 1 (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (sqrt (sqrt -1)) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt (- (sqrt -1)))) into (/ -1/2 (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (sqrt (- (sqrt -1))) (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x)))) (+ (* 1/4 (/ 1 (* (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ 1/2 1/2)))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))) * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2))) * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (pow (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) 1/2))) * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))) * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))) * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (exp (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3)))) * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (sqrt (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x))))))) * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* x (+ (sqrt (- 1 (* x x))) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* (sqrt (* x x)) (sqrt (* x x)))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (* x x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* x x)))) * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (sqrt (- 1 (* x x))) 1))) (sqrt (/ 1 x))))) * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (fabs x)))) * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (sqrt (* x x))))) * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (/ 1 x)))))) * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (/ (sqrt (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* 1 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (/ 1 x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (* x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (sqrt (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (fabs (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (* 1 (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 6))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (/ (sqrt (- 1 (pow x 6))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))))) * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (/ (sqrt (- 1 (pow x 4))) (sqrt (+ 1 (* x x)))) x)))))) * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (fabs (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1) to (λ (x) (log +nan.0)) * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))))) * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))))) * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) +nan.0))) * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (sqrt (sqrt -1)) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt (sqrt -1)) (* (sqrt (/ 1 (sqrt -1))) (/ 1/2 x))) (* (/ (/ 1/8 x) x) (sqrt (/ -1 (sqrt -1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (+ (sqrt (sqrt -1)) (* (sqrt (/ 1 (sqrt -1))) (/ 1/2 x))) (* (/ (/ 1/8 x) x) (sqrt (/ -1 (sqrt -1)))))))) * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (- (sqrt -1))) (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x)))) (+ (* 1/4 (/ 1 (* (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (- (+ (sqrt (- (sqrt -1))) (/ 1/2 (* (sqrt (- (sqrt -1))) x))) (- (/ (/ 1/8 (- (sqrt -1))) (* (sqrt (- (sqrt -1))) (* x x))) (/ (/ -1/4 (sqrt (- (sqrt -1)))) (* (sqrt -1) (* x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (- (+ (sqrt (- (sqrt -1))) (/ 1/2 (* (sqrt (- (sqrt -1))) x))) (- (/ (/ 1/8 (- (sqrt -1))) (* (sqrt (- (sqrt -1))) (* x x))) (/ (/ -1/4 (sqrt (- (sqrt -1)))) (* (sqrt -1) (* x x)))))))) * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* +nan.0 (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (sqrt (sqrt -1)) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt (sqrt -1)) (* (sqrt (/ 1 (sqrt -1))) (/ 1/2 x))) (* (/ (/ 1/8 x) x) (sqrt (/ -1 (sqrt -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (+ (+ (sqrt (sqrt -1)) (* (sqrt (/ 1 (sqrt -1))) (/ 1/2 x))) (* (/ (/ 1/8 x) x) (sqrt (/ -1 (sqrt -1))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (- (sqrt -1))) (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x)))) (+ (* 1/4 (/ 1 (* (sqrt (- (sqrt -1))) (* (pow x 2) (sqrt -1))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (- (+ (sqrt (- (sqrt -1))) (/ 1/2 (* (sqrt (- (sqrt -1))) x))) (- (/ (/ 1/8 (- (sqrt -1))) (* (sqrt (- (sqrt -1))) (* x x))) (/ (/ -1/4 (sqrt (- (sqrt -1)))) (* (sqrt -1) (* x x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (- (+ (sqrt (- (sqrt -1))) (/ 1/2 (* (sqrt (- (sqrt -1))) x))) (- (/ (/ 1/8 (- (sqrt -1))) (* (sqrt (- (sqrt -1))) (* x x))) (/ (/ -1/4 (sqrt (- (sqrt -1)))) (* (sqrt -1) (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 119 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) x)))))) * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) x)))))) * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (x) (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) x)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 (exp (- (log x)))) * [misc]backup-simplify: Simplify (* -1/2 (exp (- (log x)))) into (* -1/2 (exp (- (log x)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into (* -1/8 (exp (- (log x)))) * [misc]backup-simplify: Simplify (* -1/8 (exp (- (log x)))) into (* -1/8 (exp (- (log x)))) * [misc]backup-simplify: Simplify (+ (* (* -1/8 (exp (- (log x)))) (pow x 4)) (+ (* (* -1/2 (exp (- (log x)))) (pow x 2)) (exp (- (log x))))) into (- (exp (- (log x))) (+ (* 1/8 (* (pow x 4) (exp (- (log x))))) (* 1/2 (* (pow x 2) (exp (- (log x))))))) * [misc]approximate: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (exp (log (sqrt -1))) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (exp (log (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (sqrt -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (* (exp (log (sqrt -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (sqrt -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/8 (/ 1 (pow (sqrt -1) 3))))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (* (exp (log (sqrt -1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 2) 2)) (* (/ (pow (/ -1/4 (pow (sqrt -1) 4)) 1) 1)))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (* -1 (sqrt -1))) into (log (* -1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (* -1 (sqrt -1)))) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (* -1 (sqrt -1))) into (log (* -1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (* -1 (sqrt -1)))) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (sqrt -1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (* -1 (sqrt -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (* (exp (log (* -1 (sqrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)))) into (/ -1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (sqrt -1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (* -1 (sqrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (sqrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 2)) (pow (* -1 (sqrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) 1)) (pow (* -1 (sqrt -1)) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (* (exp (log (* -1 (sqrt -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (pow (sqrt -1) 2)) 2) 2)) (* (/ (pow (/ -1/4 (pow (sqrt -1) 4)) 1) 1)))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ 1/8 (pow (sqrt -1) 3)) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (- 1 (* x x))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (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 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (pow x 4)) (+ (* -1/2 (pow x 2)) (- (log x)))) into (- (+ (* 1/2 (pow x 2)) (+ (* 1/4 (pow x 4)) (log x)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (/ 1/2 (pow (sqrt -1) 2)) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/8 (/ 1 (pow (sqrt -1) 3))))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (/ -1/4 (pow (sqrt -1) 4)) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (/ -1/4 (pow (sqrt -1) 4)) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (pow (sqrt -1) 2)) (pow (/ 1 x) 2)) (log (sqrt -1)))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (log (sqrt -1))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt -1) 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (* -1 (sqrt -1))) into (log (* -1 (sqrt -1))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (* -1 (sqrt -1))) into (log (* -1 (sqrt -1))) * [misc]backup-simplify: Simplify (log (* -1 (sqrt -1))) into (log (* -1 (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (sqrt -1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (/ 1/2 (pow (sqrt -1) 2)) into (/ 1/2 (pow (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 (sqrt -1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1 (sqrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (* -1 (sqrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 2)) (pow (* -1 (sqrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) 1)) (pow (* -1 (sqrt -1)) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (/ -1/4 (pow (sqrt -1) 4)) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (/ -1/4 (pow (sqrt -1) 4)) (pow (/ 1 (- x)) 4)) (+ (* (/ 1/2 (pow (sqrt -1) 2)) (pow (/ 1 (- x)) 2)) (log (* -1 (sqrt -1))))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (log (* -1 (sqrt -1)))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt -1) 4))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (pow E (log (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log (/ (sqrt (- 1 (* x x))) x))) (cbrt (log (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log (/ (sqrt (- 1 (* x x))) x))) (cbrt (log (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (pow (exp (* (cbrt (log (/ (sqrt (- 1 (* x x))) x))) (cbrt (log (/ (sqrt (- 1 (* x x))) x))))) (cbrt (log (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (sqrt (log (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (pow (exp (sqrt (log (/ (sqrt (- 1 (* x x))) x)))) (sqrt (log (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (pow E (log (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (* (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) (exp (log (cbrt (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 7 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (* (sqrt (/ (sqrt (- 1 (* x x))) x)) (exp (log (sqrt (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 8 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (* 1 (exp (log (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 9 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (* (sqrt (- 1 (* x x))) (exp (log (/ 1 x))))))) * * * * [misc]progress: [ 10 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) (exp (log x)))))) * * * * [misc]progress: [ 11 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (+ (log (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))) (log (cbrt (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 19 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (+ (log (sqrt (/ (sqrt (- 1 (* x x))) x))) (log (sqrt (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 20 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (+ 0 (log (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 21 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (+ (log (sqrt (- 1 (* x x)))) (log (/ 1 x))))))) * * * * [misc]progress: [ 22 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (- (log (sqrt (- 1 (* x x)))) (log x)))))) * * * * [misc]progress: [ 23 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 39 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (* 1 (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 41 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 6))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (/ (sqrt (- 1 (pow x 6))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))))) * * * * [misc]progress: [ 42 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (/ (sqrt (- 1 (pow x 4))) (sqrt (+ 1 (* x x)))) x)))))) * * * * [misc]progress: [ 43 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (fabs (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ x (cbrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (fabs (cbrt (- 1 (* x x)))) (/ x (sqrt (cbrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ 1 (/ x (sqrt (- 1 (* x x)))))))))) * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 6))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (sqrt (- 1 (pow x 6))) (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))))))) * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (sqrt (- 1 (pow x 4))) (* x (sqrt (+ 1 (* x x)))))))))) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (log x))) (+ (* 1/8 (* (pow x 4) (exp (- (log x))))) (* 1/2 (* (pow x 2) (exp (- (log x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (+ (* (/ 1/2 x) (* x x)) (* (/ 1/8 x) (pow x 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (- (/ 1 x) (+ (* (/ 1/2 x) (* x x)) (* (/ 1/8 x) (pow x 4))))))) * * * * [misc]progress: [ 65 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1))))) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -1)))))) * * * * [misc]progress: [ 67 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ (* 1/4 (pow x 4)) (log x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (+ (* x (* -1/2 x)) (- (* (pow x 4) -1/4) (log x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (exp (+ (* x (* -1/2 x)) (- (* (pow x 4) -1/4) (log x))))))) * * * * [misc]progress: [ 68 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (log (sqrt -1))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt -1) 4))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ -1/2 x) x) (log (sqrt -1))) (/ (/ 1/4 (pow x 4)) (pow (sqrt -1) 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (exp (- (+ (/ (/ -1/2 x) x) (log (sqrt -1))) (/ (/ 1/4 (pow x 4)) (pow (sqrt -1) 4))))))) * * * * [misc]progress: [ 69 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 2)))) (log (* -1 (sqrt -1)))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt -1) 4))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt -1))) (+ (/ -1/2 (* x x)) (/ (/ -1/4 (pow x 4)) (pow (sqrt -1) 4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (exp (+ (log (- (sqrt -1))) (+ (/ -1/2 (* x x)) (/ (/ -1/4 (pow x 4)) (pow (sqrt -1) 4)))))))) * * * * [misc]progress: [ 70 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (- (* -1/8 (pow x 4)) (+ (* 1/2 (* x x)) -1)) x)))))) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (+ (+ (* x (sqrt -1)) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ -1 x) (* x x)) (* -8 (sqrt -1)))) x)))))) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (/ (+ (- (/ (/ -1/2 x) (sqrt -1)) (* (sqrt -1) x)) (/ (/ (/ 1/8 x) (* x x)) (- (sqrt -1)))) x)))))) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (+ (* (* x -1/8) (* x x)) (+ (* -1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (+ (* (* x -1/8) (* x x)) (+ (* -1/2 x) (/ 1 x)))))))) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (+ (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (/ (/ 1/8 (sqrt -1)) (pow x 4))) (sqrt -1))))))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (exp (log (+ (- (/ (/ (/ -1/2 x) (sqrt -1)) x) (sqrt -1)) (/ (/ -1/8 (pow x 4)) (sqrt -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 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) (- +nan.0))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) (- +nan.0))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow x 2)) (+ (* (- +nan.0) x) (- +nan.0))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify (* 1/3 (log (- +nan.0))) into (* 1/3 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- +nan.0)))) into (pow (- +nan.0) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify (* 1/3 (log (- +nan.0))) into (* 1/3 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- +nan.0)))) into (pow (- +nan.0) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify (* 1/3 (log (- +nan.0))) into (* 1/3 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- +nan.0)))) into (pow (- +nan.0) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x 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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (log (- +nan.0)) into (log (- +nan.0)) * [misc]backup-simplify: Simplify (* 1/3 (log (- +nan.0))) into (* 1/3 (log (- +nan.0))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- +nan.0)))) into (pow (- +nan.0) 1/3) * [misc]backup-simplify: Simplify (* (pow (- +nan.0) 1/3) (pow (- +nan.0) 1/3)) into (pow (pow +nan.0 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow +nan.0 2) 1/3) into (pow (pow +nan.0 2) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/3 +nan.0) (* 0 (log (- +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- +nan.0)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/3 +nan.0) (* 0 (log (- +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- +nan.0)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- +nan.0) 1/3) (* +nan.0 (pow +nan.0 1/3))) (* (* +nan.0 (pow +nan.0 1/3)) (pow (- +nan.0) 1/3))) into (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) into (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- +nan.0)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (log (- +nan.0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- +nan.0)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (pow +nan.0 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- +nan.0) 1/3) (* +nan.0 (pow +nan.0 1/3))) (+ (* (* +nan.0 (pow +nan.0 1/3)) (* +nan.0 (pow +nan.0 1/3))) (* (* +nan.0 (pow +nan.0 1/3)) (pow (- +nan.0) 1/3)))) into (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) into (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) (pow x 2)) (+ (* (- (* +nan.0 (pow (pow +nan.0 2) 1/3))) x) (pow (pow +nan.0 2) 1/3))) into (- (pow (pow +nan.0 2) 1/3) (+ (* +nan.0 (* x (pow (pow +nan.0 2) 1/3))) (- (* +nan.0 (* (pow x 2) (pow (pow +nan.0 2) 1/3)))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt -1))) into (* 1/3 (log (sqrt -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt -1)))) into (pow (sqrt -1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt -1))) into (* 1/3 (log (sqrt -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt -1)))) into (pow (sqrt -1) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt -1))) into (* 1/3 (log (sqrt -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt -1)))) into (pow (sqrt -1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt -1)) (sqrt (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt -1))) into (* 1/3 (log (sqrt -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt -1)))) into (pow (sqrt -1) 1/3) * [misc]backup-simplify: Simplify (* (pow (sqrt -1) 1/3) (pow (sqrt -1) 1/3)) into (pow (pow (sqrt -1) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (sqrt -1) 2) 1/3) into (pow (pow (sqrt -1) 2) 1/3) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (sqrt -1))) (* 0 (log (sqrt -1)))) into (* 1/3 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt -1)))) (+ (* (/ (pow (* 1/3 (/ 1 (sqrt -1))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (sqrt -1))) (* 0 (log (sqrt -1)))) into (* 1/3 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt -1)))) (+ (* (/ (pow (* 1/3 (/ 1 (sqrt -1))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -1) 1/3) (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3))) (* (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3)) (pow (sqrt -1) 1/3))) into (* 2/3 (pow (/ 1 (sqrt -1)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 (sqrt -1)) 1/3)) into (* 2/3 (pow (/ 1 (sqrt -1)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (sqrt -1))) (* 0 (log (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt -1)))) (+ (* (/ (pow (* 1/3 (/ 1 (sqrt -1))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (/ 1 (pow (sqrt -1) 5)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt -1)) (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (* 1/2 (sqrt (/ 1 (sqrt -1))))) (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (sqrt (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (sqrt -1))) (* 0 (log (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt -1)))) (+ (* (/ (pow (* 1/3 (/ 1 (sqrt -1))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (/ 1 (pow (sqrt -1) 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt -1) 1/3) (* 1/18 (pow (/ 1 (pow (sqrt -1) 5)) 1/3))) (+ (* (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3)) (* 1/3 (pow (/ 1 (pow (sqrt -1) 2)) 1/3))) (* (* 1/18 (pow (/ 1 (pow (sqrt -1) 5)) 1/3)) (pow (sqrt -1) 1/3)))) into (* 2/9 (pow (/ 1 (pow (sqrt -1) 4)) 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow (/ 1 (pow (sqrt -1) 4)) 1/3)) into (* 2/9 (pow (/ 1 (pow (sqrt -1) 4)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (sqrt -1) 4)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* 2/3 (pow (/ 1 (sqrt -1)) 1/3)) (/ 1 x)) (pow (pow (sqrt -1) 2) 1/3))) into (+ (pow (pow (sqrt -1) 2) 1/3) (+ (* 2/3 (* (/ 1 x) (pow (/ 1 (sqrt -1)) 1/3))) (* 2/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (sqrt -1) 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (log (pow (sqrt (- (sqrt -1))) 2)) into (log (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) into (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) into (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (log (pow (sqrt (- (sqrt -1))) 2)) into (log (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) into (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) into (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (log (pow (sqrt (- (sqrt -1))) 2)) into (log (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) into (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) into (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) * [misc]backup-simplify: Simplify (log (pow (sqrt (- (sqrt -1))) 2)) into (log (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) into (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) into (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (pow (pow (sqrt (- (sqrt -1))) 2) 1/3)) into (pow (pow (sqrt (- (sqrt -1))) 4) 1/3) * [misc]backup-simplify: Simplify (pow (pow (sqrt (- (sqrt -1))) 4) 1/3) into (pow (pow (sqrt (- (sqrt -1))) 4) 1/3) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1)) 1)) (pow (pow (sqrt (- (sqrt -1))) 2) 1)))) 1) into (/ -1 (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow (sqrt (- (sqrt -1))) 2))) (* 0 (log (pow (sqrt (- (sqrt -1))) 2)))) into (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) (+ (* (/ (pow (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (/ -1/2 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1)) 1)) (pow (pow (sqrt (- (sqrt -1))) 2) 1)))) 1) into (/ -1 (pow (sqrt (- (sqrt -1))) 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow (sqrt (- (sqrt -1))) 2))) (* 0 (log (pow (sqrt (- (sqrt -1))) 2)))) into (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) (+ (* (/ (pow (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3))) (* (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3)) (pow (pow (sqrt (- (sqrt -1))) 2) 1/3))) into (- (* 2/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3))) into (- (* 2/3 (pow (/ 1 (pow (sqrt (- (sqrt -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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1)) 2)) (pow (pow (sqrt (- (sqrt -1))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (pow (sqrt (- (sqrt -1))) 2) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1))) (/ 1 (pow (sqrt (- (sqrt -1))) 4)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1))) (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) (+ (* 0 (/ -1 (pow (sqrt (- (sqrt -1))) 2))) (* 0 (log (pow (sqrt (- (sqrt -1))) 2))))) into (- (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/6 (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) (+ (* (/ (pow (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/6 (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) 1) 1)))) into (* -1 (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/9 (/ 1 (pow (sqrt (- (sqrt -1))) 4)))))) * [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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ -1/2 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 1/2 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1)) 2)) (pow (pow (sqrt (- (sqrt -1))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (pow (sqrt (- (sqrt -1))) 2) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1))) (/ 1 (pow (sqrt (- (sqrt -1))) 4)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1))) (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) (+ (* 0 (/ -1 (pow (sqrt (- (sqrt -1))) 2))) (* 0 (log (pow (sqrt (- (sqrt -1))) 2))))) into (- (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/6 (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (sqrt (- (sqrt -1))) 2)))) (+ (* (/ (pow (- (* 1/3 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/6 (/ 1 (pow (sqrt (- (sqrt -1))) 4))))) 1) 1)))) into (* -1 (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/9 (/ 1 (pow (sqrt (- (sqrt -1))) 4)))))) * [misc]backup-simplify: Simplify (+ (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (* -1 (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/9 (/ 1 (pow (sqrt (- (sqrt -1))) 4))))))) (+ (* (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3)) (* -1/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 4)) 1/3))) (* (* -1 (* (pow (pow (sqrt (- (sqrt -1))) 2) 1/3) (+ (* 1/6 (/ 1 (* (pow (sqrt (- (sqrt -1))) 2) (sqrt -1)))) (* 1/9 (/ 1 (pow (sqrt (- (sqrt -1))) 4)))))) (pow (pow (sqrt (- (sqrt -1))) 2) 1/3)))) into (- (+ (* 1/9 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3)) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/9 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3)) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (sqrt -1)))))) into (- (+ (* 1/9 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3)) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (sqrt -1)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/9 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3)) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (sqrt -1)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 2/3 (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3))) (/ 1 (- x))) (pow (pow (sqrt (- (sqrt -1))) 4) 1/3))) into (- (+ (pow (pow (sqrt (- (sqrt -1))) 4) 1/3) (* 2/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 x)))) (+ (* 1/9 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3) (/ 1 (pow x 2)))) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (* (pow x 2) (sqrt -1))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ 1/2 1/2)))))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))))) * * * * [misc]progress: [ 2 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2))))) * * * * [misc]progress: [ 3 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) 1/2))))) * * * * [misc]progress: [ 4 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))))) * * * * [misc]progress: [ 5 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))))) * * * * [misc]progress: [ 7 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (exp (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))))) * * * * [misc]progress: [ 9 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3)))))) * * * * [misc]progress: [ 12 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x))))))))) * * * * [misc]progress: [ 15 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 17 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* x (+ (sqrt (- 1 (* x x))) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* (sqrt (* x x)) (sqrt (* x x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (* x x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* x x)))))) * * * * [misc]progress: [ 18 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))))) * * * * [misc]progress: [ 19 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 20 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))))) * * * * [misc]progress: [ 21 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))))) * * * * [misc]progress: [ 22 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 23 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 24 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 25 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 26 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 28 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 29 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 30 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 31 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 32 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 33 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))))) * * * * [misc]progress: [ 34 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))))) * * * * [misc]progress: [ 35 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (sqrt (- 1 (* x x))) 1))) (sqrt (/ 1 x))))))) * * * * [misc]progress: [ 36 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 37 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 38 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 39 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 40 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 41 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 42 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 43 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 44 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 45 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 46 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 47 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 48 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (fabs x)))))) * * * * [misc]progress: [ 50 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))))) * * * * [misc]progress: [ 51 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 52 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (sqrt (* x x))))))) * * * * [misc]progress: [ 53 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))))) * * * * [misc]progress: [ 54 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 55 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ 1/2 1/2)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 57 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 58 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) 1/2))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 59 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 60 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 62 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (exp (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 64 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 67 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 70 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 72 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* x (+ (sqrt (- 1 (* x x))) 1)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (* x x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 73 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 74 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 75 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 76 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 77 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 78 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 79 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 80 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 81 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 83 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 84 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 85 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 86 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 87 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 88 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 89 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 90 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (sqrt (- 1 (* x x))) 1))) (sqrt (/ 1 x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 91 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 92 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 93 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 94 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 95 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 96 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 97 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 98 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 99 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 100 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 101 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 102 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 103 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 105 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 106 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2 1 2) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 107 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 108 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 109 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 110 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ 1/2 1/2))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 112 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 113 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (pow (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) 1/2)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 114 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 1)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 115 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (pow (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 117 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (exp (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 119 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (cbrt (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 122 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (* (/ 1 x) (+ (/ 1 x) (/ 1 x)))) (+ (/ (- 1 (* x x)) (* x x)) (* (/ 1 x) (/ 1 x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 125 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 127 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* x (+ (sqrt (- 1 (* x x))) 1)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* (sqrt (* x x)) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (* x x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* x (+ (sqrt (- 1 (* x x))) 1)) (* x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 128 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 129 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 130 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 131 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))) (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 132 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 133 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 134 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 135 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 136 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 138 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 139 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 140 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 141 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 142 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 143 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 144 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (/ 1 x))) (sqrt (+ 1 (sqrt (- 1 (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 145 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (sqrt (- 1 (* x x))) 1))) (sqrt (/ 1 x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 146 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 147 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 148 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 149 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 150 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 151 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 152 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 153 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* 1 (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 154 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 155 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (/ 1 x)) (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 156 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 157 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 158 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))) (fabs x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 160 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))) (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 161 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 162 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 163 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 164 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x) (log (* (* (cbrt (/ (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 165 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ 1/3 1/3)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 2/3) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 167 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (pow (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (pow (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 168 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (pow (* (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) 1/3) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 169 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (pow (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 1) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 170 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (pow (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ 1 1)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 172 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (log (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (exp (+ (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 174 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (cbrt (* (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 177 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 178 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* x (+ (sqrt (- 1 (* x x))) 1))) (cbrt (* x (+ (sqrt (- 1 (* x x))) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* x (+ (sqrt (- 1 (* x x))) 1))) (cbrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* x (+ (sqrt (- 1 (* x x))) 1))) (cbrt (* x (+ (sqrt (- 1 (* x x))) 1)))) (* (cbrt (* x x)) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 181 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 182 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* x x)) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 183 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 184 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (* x x)) (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 185 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (370 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* x x)) (cbrt (* (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 186 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* x x)) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 187 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* x x)) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 188 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* x x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 189 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* x x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 190 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 191 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) (* (cbrt (* x x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 192 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* x x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 193 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (* (sqrt (+ (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 194 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (* x x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ x (* (sqrt (- 1 (* x x))) x)))) (* (cbrt (* x x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 195 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 196 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 197 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 198 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 199 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 200 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 201 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 202 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 203 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 204 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 205 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 206 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (+ (/ 1 (* x x)) (- (/ 1 (* x x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (+ (/ 1 (* x x)) (- (/ 1 (* x x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 207 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 208 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 209 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (+ (/ 1 (* x x)) (- (/ 1 (* x x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (+ (/ 1 (* x x)) (- (/ 1 (* x x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 210 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 211 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 212 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 213 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 214 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 215 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 216 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 217 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 218 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 219 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 220 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 221 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 222 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 223 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 224 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 225 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 226 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 227 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 228 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 229 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 230 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 231 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 232 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 233 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))) (* (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 234 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ x (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ x (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 235 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 236 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 237 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ x (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ x (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 238 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 239 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (fabs x) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 240 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (+ (* x (sqrt (- 1 (* x x)))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (+ (* x (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (+ (* x (sqrt (- 1 (* x x)))) x))) (* (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 241 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 242 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 243 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 244 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 245 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 246 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 247 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 248 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 249 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 250 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 251 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 252 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (cbrt (* (sqrt (+ (* x (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 253 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 254 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 255 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 256 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 257 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 258 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 259 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x)))))) (* (cbrt (* (sqrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (+ (* (/ -1 (* x x)) (sqrt (- 1 (* x x)))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 260 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 261 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 262 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 263 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 264 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 265 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 266 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 267 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 268 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x))))))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 269 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (/ (- 1 (* x x)) (* x (* x x)))))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 270 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) x) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) x) x))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) x) x))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 271 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 272 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 273 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 274 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 275 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 276 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 277 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 278 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 279 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 280 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (/ -1 (* x x))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (/ -1 (* x x))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 281 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 282 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 283 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (/ -1 (* x x))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (+ (* (sqrt (- 1 (* x x))) (/ -1 (* x x))) (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 284 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 285 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 286 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 287 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 288 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 289 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 290 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 291 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 292 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 293 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (- 1 (sqrt (- 1 (* x x)))) (/ 1 x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 294 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 295 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 296 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 297 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 298 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 299 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 300 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 301 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (* (fabs x) (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 302 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 303 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 304 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x (* x x)) (- 1 (* x x))))))) (* (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 305 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 306 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 307 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 308 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 309 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (fabs x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 310 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 311 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 312 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))) (* (cbrt (fabs x)) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 313 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 314 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 315 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (fabs x)) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 316 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 317 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 318 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 319 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (fabs x)) (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 320 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 321 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 322 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 323 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 324 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 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 (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (fabs x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 325 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 326 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 327 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (fabs x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 328 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 329 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 330 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 331 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 332 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1)))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 333 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 334 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 335 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 336 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 337 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 338 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))) (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 339 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 340 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 341 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 342 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 343 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 344 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 345 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 346 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 347 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 348 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 349 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 350 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 351 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 352 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 353 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 354 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 355 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 356 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 357 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 358 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (/ 1 (* x x)) (- (/ 1 (* x x)) 1))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 359 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 360 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (* (cbrt (fabs x)) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 361 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 362 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 363 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (fabs x)) (cbrt (* (fabs x) (sqrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 364 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (fabs x)) (cbrt (- (- (/ (- 1 (* x x)) (* x x)) (/ -1 (* x x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 365 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ x (* (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1))))) (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 366 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 367 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1)))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (fabs x)) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 368 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 369 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x))))) (* (cbrt (fabs x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 370 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 371 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 372 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 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 (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (fabs x)) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 373 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (+ (/ 1 (* x x)) (/ 1 (* x x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 374 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (* x x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 375 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (+ 1 (sqrt (- 1 (* x x)))) x))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 376 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 377 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- 1 (* x x)) (* x (* x x))) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- 1 (* x x)) (* x (* x x))) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (fabs x) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 378 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (* x (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x)))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 379 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x))))))) (* (cbrt (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 380 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 381 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* x (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) 1)) (sqrt (+ x (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 382 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (* (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 383 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)))) (* (cbrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 384 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 385 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 386 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 387 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (* x (+ 1 (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (+ (/ (/ 1 x) x) (/ (/ 1 x) x)) 1) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (fabs x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 388 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (* (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 389 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1))))) (* (cbrt (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 390 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (+ x (* (sqrt (- 1 (* x x))) x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 391 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (- (* (/ 1 x) (/ 1 x)) 1))))) (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (+ (- (/ (/ 1 x) x) 1) (/ (/ 1 x) x)) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 392 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 393 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (* (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (- (/ (/ 1 x) x) (- 1 (/ (/ 1 x) x))) (/ (sqrt (- 1 (* x x))) (* x x)))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 394 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))) (* (cbrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 395 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 396 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (fabs x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 397 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (* (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 398 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))))) (cbrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x)))) (* (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 399 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 400 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 401 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 402 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x)))))) (* (cbrt (fabs x)) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 403 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))) (/ (/ 1 x) (* x x))))))) (* (cbrt (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))) (cbrt (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 404 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * [enter]simplify: Simplifying (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x)))))) (* (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 405 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 406 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 407 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 408 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 409 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) 1) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 410 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 411 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (* (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (* (cbrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 412 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (* (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (* (sqrt (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 413 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 414 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (* x x)) (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (* x x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (cbrt (* x x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 415 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (cbrt (* (fabs x) (sqrt (- (+ (/ (/ 1 x) x) (- (/ (/ 1 x) x) 1)) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 416 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 417 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (cbrt (* (fabs x) (sqrt (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 418 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (cbrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 419 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 420 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (cbrt (* (fabs x) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 421 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (cbrt (* (sqrt (- (- (/ 1 (* x x)) (- 1 (/ 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) (sqrt (* (/ 1 x) (- 1 (sqrt (- 1 (* x x))))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 422 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 423 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* x x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (fabs x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x))))))))) (cbrt (fabs x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 424 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 425 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 426 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* x x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (fabs x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (fabs x))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 427 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 428 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 429 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (* (+ (sqrt (- 1 (* x x))) 1) x))) (cbrt (* (sqrt (* x x)) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 430 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x)))) (/ (/ 1 x) (* x x)))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (* (sqrt (* x x)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 431 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) (sqrt (* x (+ (sqrt (- 1 (* x x))) 1))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (* x x)) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 432 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (sqrt (+ x (* x (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 433 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* (* x x) x) (- 1 (* x x))))))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 434 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 435 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ 1 (sqrt (- 1 (* x x)))) x)) (sqrt (- (/ (/ 1 x) x) (/ (- (/ 1 x) x) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 436 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) 1)) (sqrt (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 437 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (* (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 438 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (* (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 439 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (* (sqrt (- 1 (* x x))) (/ (- (/ 1 x) x) (* x x))) (/ (/ 1 x) (* x x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 440 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (/ (- (/ 1 x) x) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 441 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (sqrt (+ (* (sqrt (- 1 (* x x))) x) x)))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (sqrt (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 442 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ (/ 1 x) (* x x)) (* (/ (- (/ 1 x) x) (* x x)) (sqrt (- 1 (* x x)))))) (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (cbrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 443 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (log (* (/ (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 444 / 456 ] simplifiying candidate # * * * * [misc]progress: [ 445 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt +nan.0)))) * * * * [misc]progress: [ 446 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))))))) * * * * [misc]progress: [ 447 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))))))) * * * * [misc]progress: [ 448 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt +nan.0)) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 449 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 450 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x) (log (* (* (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (cbrt (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 451 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 2)) (- +nan.0))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (log (* (* (cbrt +nan.0) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 452 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (log (* (* (cbrt (+ (+ (/ 1 x) (sqrt -1)) (/ 1/2 (* (sqrt -1) (* x x))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 453 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 x) (pow (sqrt (- (sqrt -1))) 2)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (log (* (* (cbrt (- (/ -1/2 (* (* x x) (sqrt -1))) (+ (sqrt -1) (/ -1 x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 454 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow +nan.0 2) 1/3) (+ (* +nan.0 (* x (pow (pow +nan.0 2) 1/3))) (- (* +nan.0 (* (pow x 2) (pow (pow +nan.0 2) 1/3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* +nan.0 (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 455 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (pow (sqrt -1) 2) 1/3) (+ (* 2/3 (* (/ 1 x) (pow (/ 1 (sqrt -1)) 1/3))) (* 2/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (sqrt -1) 4)) 1/3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ 1 (pow (sqrt -1) 4))) (/ 2/9 (* x x))) (+ (* (cbrt (/ 1 (sqrt -1))) (/ 2/3 x)) (cbrt -1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (+ (* (cbrt (/ 1 (pow (sqrt -1) 4))) (/ 2/9 (* x x))) (+ (* (cbrt (/ 1 (sqrt -1))) (/ 2/3 x)) (cbrt -1))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 456 / 456 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (sqrt (- (sqrt -1))) 4) 1/3) (* 2/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 x)))) (+ (* 1/9 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 8)) 1/3) (/ 1 (pow x 2)))) (* 1/3 (* (pow (/ 1 (pow (sqrt (- (sqrt -1))) 2)) 1/3) (/ 1 (* (pow x 2) (sqrt -1))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (+ (+ (* (+ (/ 2/3 x) (/ -1/3 (* (* x x) (sqrt -1)))) (cbrt (/ 1 (- (sqrt -1))))) (cbrt (pow (sqrt (- (sqrt -1))) 4))) (* (cbrt (/ 1 (pow (sqrt (- (sqrt -1))) 8))) (/ -1/9 (* x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (+ (+ (* (+ (/ 2/3 x) (/ -1/3 (* (* x x) (sqrt -1)))) (cbrt (/ 1 (- (sqrt -1))))) (cbrt (pow (sqrt (- (sqrt -1))) 4))) (* (cbrt (/ 1 (pow (sqrt (- (sqrt -1))) 8))) (/ -1/9 (* x x)))) (cbrt (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) from (# # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #